1  20
Next
Number of results to display per page
1. An introduction to contact topology [2008]
 Geiges, Hansjörg, 1966
 Cambridge ; New York : Cambridge University Press, 2008.
 Description
 Book — xv, 440 p. : ill. ; 24 cm.
 Summary

 Foreword
 1. Facets of Contact Geometry
 2. Contact Manifolds
 3. Knots in Contact 3Manifolds
 4. Contact Structures on 3Manifolds
 5. Symplectic Fillings and Convexity
 6. Contact Surgery
 7. Further Constructions of Contact Manifolds
 8. Contact Structures on 5Manifolds Appendix A. The generalised Poincare lemma Appendix B. Timedependent vector fields References Notation Index Author Index Subject Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  Request (opens in new tab) 
QA613.659 .G45 2008  Unknown 
2. Contact and symplectic topology [2014]
 Cham ; New York : Springer ; [Budapest] : János Bolyai Mathematical Society, c2014.
 Description
 Book — xiii, 530 p. : ill. (partly col.) ; 24 cm.
 Summary

 Mathematical contributions from V.I. Arnold. Topological methods in 3dimensional contact geometry. A short introduction to Fukaya categories. Open books and Lefschetz pencils in contact geometry. Introduction to contact topology in higher dimensions. Bordered Heegaard Floer homology. Stein structures: existence and flexibility. Embedded contact homology, cobordism maps, and applications. Knot contact homology and applications.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  Request (opens in new tab) 
QA613.659 .C66 2014  Unknown 
 Geiges, Hansjörg, 1966
 Cambridge : Cambridge University Press, 2008.
 Description
 Book — xv, 440 p. : ill.
 Summary

 Foreword
 1. Facets of Contact Geometry
 2. Contact Manifolds
 3. Knots in Contact 3Manifolds
 4. Contact Structures on 3Manifolds
 5. Symplectic Fillings and Convexity
 6. Contact Surgery
 7. Further Constructions of Contact Manifolds
 8. Contact Structures on 5Manifolds Appendix A. The generalised Poincare lemma Appendix B. Timedependent vector fields References Notation Index Author Index Subject Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
4. Morse theoretic methods in nonlinear analysis and in symplectic topology [electronic resource] [2006]
 Dordrecht : Springer, c2006.
 Description
 Book — xiv, 462 p. : ill.
5. An introduction to contact topology [2008]
 Geiges, Hansjörg, 1966
 Cambridge : Cambridge University Press, 2008.
 Description
 Book — 1 online resource (xv, 440 pages) : illustrations Digital: data file.
 Summary

 Foreword
 1. Facets of Contact Geometry
 2. Contact Manifolds
 3. Knots in Contact 3Manifolds
 4. Contact Structures on 3Manifolds
 5. Symplectic Fillings and Convexity
 6. Contact Surgery
 7. Further Constructions of Contact Manifolds
 8. Contact Structures on 5Manifolds Appendix A. The generalised Poincare lemma Appendix B. Timedependent vector fields References Notation Index Author Index Subject Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Zürich : European mathematical society, [2015]
 Description
 Book — vi, 494 pages : illustrations ; 25 cm.
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  Request (opens in new tab) 
QA612.76 .F74 2015  Unknown 
7. Symplectic topology and Floer homology [2015]
 Oh, YongGeun, 1961 author.
 Cambridge, United Kingdom : Cambridge University Press, 2015.
 Description
 Book — 2 volumes : illustrations ; 24 cm.
 Summary

 Preface Part I. Hamiltonian Dynamics and Symplectic Geometry:
 1. Least action principle and the Hamiltonian mechanics
 2. Symplectic manifolds and Hamilton's equation
 3. Lagrangian submanifolds
 4. Symplectic fibrations
 5. Hofer's geometry of Ham(M, omega)
 6. C0Symplectic topology and Hamiltonian dynamics Part II. Rudiments of Pseudoholomorphic Curves:
 7. Geometric calculations
 8. Local study of Jholomorphic curves
 9. Gromov compactification and stable maps
 10. Fredholm theory
 11. Applications to symplectic topology References Index.
 (source: Nielsen Book Data)
 Preface Part III. Lagrangian Intersection Floer Homology:
 12. Floer homology on cotangent bundles
 13. Offshell framework of Floer complex with bubbles
 14. Onshell analysis of Floer moduli spaces
 15. Offshell analysis of the Floer moduli space
 16. Floer homology of monotone Lagrangian submanifolds
 17. Applications to symplectic topology Part IV. Hamiltonian Fixed Point Floer Homology:
 18. Action functional and ConleyZehnder index
 19. Hamiltonian Floer homology
 20. Pants product and quantum cohomology
 21. Spectral invariants: construction
 22. Spectral invariants: applications Appendix A. The Weitzenbock formula for vector valued forms Appendix B. Threeinterval method of exponential estimates Appendix C. Maslov index, ConleyZehnder index and index formula References Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks

Request (opens in new tab) 
QA613.659 .O39 2015 V.1  Unknown 
QA613.659 .O39 2015 V.2  Unknown 
 McDuff, Dusa, 1945
 Providence, R.I. : American Mathematical Society, c2004.
 Description
 Book — xii, 669 p. : ill. ; 27 cm.
 Summary

 Introduction $J$holomorphic curves Moduli spaces and transversality Compactness Stable maps Moduli spaces of stable maps GromovWitten invariants Hamiltonian perturbations Applications in symplectic topology Gluing Quantum cohomology Floer cohomology Fredholm theory Elliptic regularity The RiemannRoch theorem Stable curves of genus zero Singularities and intersections (written with Laurent Lazzarini) Bibliography List of symbols Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  Request (opens in new tab) 
QA1 .A5225 V.52  Unknown 
 Dordrecht, Netherlands : Springer, ©2006.
 Description
 Book — 1 online resource (xiv, 462 pages) : illustrations Digital: text file; PDF.
 Summary

 A few facts from hyperbolic dynamics.1.1 Adapted norms .1.2 Linear stable and unstable spaces of an asymptotically hyperbolic path.1.3 Morse vector fields
 1.4 Local dynamics near a hyperbolic rest point ; 1.5 Local stable and unstable manifolds
 1.6 The Grobman
 Hartman linearization theorem.1.7 Global stable and unstable manifolds
 2 The Morse complex in the case of finite Morse indices
 2.1 The Palais
 Smale condition.2.2 The Morse
 Smale condition .2.3 The assumptions
 2.4 Forward compactness
 2.5 Consequences of compactness and transversality
 2.6 Cellular filtrations
 2.7 The Morse complex
 2.8 Representation of $\delta$* in terms of intersection numbers
 2.9 How to remove the assumption (A8)
 2.10 Morse functions on Hilbert manifolds.2.11 Basic results in transversality theory
 2.12 Genericity of the Morse
 Smale condition.2.13 Invariance of the Morse complex
 3 The Morse complex in the case of infinite Morse indices
 3.1 The program.3.2 Fredholm pairs and compact perturbations of linear subspaces
 3.3 Finitedimensional intersections.3.4 Essential subbundles
 3.5 Orientations
 3.6 Compactness
 3.7 Twodimensional intersections .3.8 The Morse complex
 Bibliographical note
 Notes on Floer Homology and Loop Space Homology
 1 Introduction
 2 Main result.2.1 Loop space homology.2.2 Floer homology for the cotangent bundle
 3 Ring structures and ringhomomorphisms.3.1 The pairofpants product
 3.2 The ring homomorphisms between free loop space Floer homology and based loop space Floer homology and classical homology.4 Morsehomology on the loop spaces $\Lambda$Q and $\Omega$Q, and the isomorphism.5 Products in Morsehomology .5.1 Ring isomorphism between Morse homology and Floer homology
 Homotopical Dynamics in Symplectic Topology
 1 Introduction .2 Elements of Morse theory .2.1 Connecting manifolds.2.2 Operations.3 Applications to symplectic topology
 3.1 Bounded orbits .3.2 Detection of pseudoholomorphic strips and Hofer's norm
 Morse Theory, Graphs, and String Topology.1 Graphs, Morse theory, and cohomology operations.2 String topology .3 A Morse theoretic view of string topology
 4 Cylindrical holomorphic curves in the cotangent bundle
 Topology of Robot Motion Planning.1. Introduction .2 First examples of configuration spaces .3 Varieties of polygonal linkages.3.1 Short and long subsets .3.2 Poincaré polynomial of M(a) .4 Universality theorems for configuration spaces .5 A remark about configuration spaces in robotics .6 The motion planning problem.7 Tame motion planning algorithms.8 The Schwarz genus
 9 The second notion of topological complexity.10 Homotopy invariance
 11 Order of instability of a motion planning algorithm.12 Random motion planning algorithms
 13 Equality theorem.14 An upper bound for TC(X).15 A cohomological lower bound for TC(X) .16 Examples .17 Simultaneous control of many systems.18 Another inequality relating TC(X) to the usual category .19 Topological complexity of bouquets.20 A general recipe to construct a motion planning algorithm.21 How difficult is to avoid collisions in $\mathbb{R}$m? .22 The case m = 2
 23 TC(F($\mathbb{R}$m; n) in the case m $\geq$ 3 odd
 24 Shade.25 Illuminating the complement of the braid arrangement .26 A quadratic motion planning algorithm in F($\mathbb{R}$m; n).27 Configuration spaces of graphs.28 Motion planning in projective spaces .29 Nonsingular maps
 30 TC(($\mathbb{R}$Pn) and the immersion problem.31 Some open problems
 Application of Floer Homology of Langrangian Submanifolds to Symplectic Topology
 1 Introduction
 2 Lagrangian submanifold of $\mathbb{C}$n .3 Perturbing Cauchy
 Riemann equation
 4 Maslov index of Lagrangian submanifold with vanishing second Betti number.5 Floer homology and a spectral sequence .6 Homology of loop space and Chas
 Sullivan bracket .7 Iterated integral and Gerstenhaber bracket
 8 A$_\infty$ deformation of de Rham complex
 9 S1 equivariant homology of loop space and cyclic A1 algebra .10 L$_\infty$ structure on H(S1 $\times$ Sn; $\mathbb{Q}$).11 Lagrangian submanifolds of $\mathbb{C}$3 .12 Aspherical Lagrangian submanifolds .13 Lagrangian submanifolds homotopy equivalent to S1 $\times$ S2m .14 Lagrangian submanifolds of $\mathbb{C}$Pn
 The $\mathcal{LS}$Index: A Survey
 1 Introduction .2 The $\mathcal{LS}$index.2.1 Basic definitions and facts.2.2 Spectra .2.3 The $\mathcal{LS}$index
 3 Cohomology of spectra .4 Attractors, repellers and Morse decompositions
 5 Equivariant $\mathcal{LS}$flows and the G$\mathcal{LS}$index.5.1 Symmetries.5.2 Isolating neighbourhoods and the equivariant $\mathcal{LS}$index .6 Applications.6.1 A general setting .6.2 Applications of the $\mathcal{LS}$index .6.3 Applications of the cohomological $\mathcal{LS}$index .6.4 Applications of the equivariant LSindex
 Lectures on Floer Theory and Spectral Invariants of Hamiltonian Flows
 1 Introduction .2 The free loop space and the action functional.2.1 The free loop space and the S1action in general.2.2 The free loop space of symplectic manifolds.2.3 The Novikov covering.2.4 Perturbed action functionals and their action spectra.2.5 The L2gradient flow and perturbed Cauchy
 Riemann equations.2.6 Comparison of two Cauchy
 Riemann equations.3 Floer complex and the Novikov ring.3.1 Novikov
 Floer chains and the Novikov ring.3.2 Definition of the Floer boundary map.3.3 Definition of the Floer chain map.3.4 Semipositivity and transversality.3.5 Composition law of Floer's chain maps.4 Energy estimates and Hofer's geometry
 4.1 Energy estimates and the action level changes.4.2 Energy estimates and Hofer's norm.4.3 Level changes of Floer chains under the homotopy .4.4 The $\epsilon$regularity type invariants .5 Definition of spectral invariants and their axioms.5.1 Floer complex of a small Morse function.5.2 Definition of spectral invariants.5.3 Axioms of spectral invariants.6 The spectrality axiom.6.1 A consequence of the nondegenerate spectrality axiom.6.2 Spectrality axiom for the rational case.6.3 Spectrality for the irrational case.7 Pants product and the triangle inequality.7.1 Quantum cohomology in the chain level.7.2 Grading convention.7.3 Hamiltonian fibrations and the pants product
 7.4 Proof of the triangle inequality.8 Spectral norm of Hamiltonian diffeomorphisms.8.1 Construction of the spectral norm.8.2 The $\epsilon$regularity theorem and its consequences.8.3 Proof of nondegeneracy.9 Applications to Hofer geometry of Ham(M; $\omega$).9.1 Quasiautonomous Hamiltonians and the minimality conjecture
 9.2 Length minimizing criterion via $\rho$(H; 1).9.3 Canonical fundamental Floer cycles.9.4 The case of autonomous Hamiltonians.10 Remarks on the transversality for general (M; $omega$)
 A Proof of the index formula
 Floer Homology, Dynamics and Groups.1 Hamiltonian actions of finitely generated groups.1.1 The group of Hamiltonian diffeomorphisms.1.2 The notorsion theorem.1.3 Distortion in normed groups .1.4 The NoDistortion Theorem.1.5 The Zimmer program
 2 Floer theory in action.2.1 A brief sketch of Floer theory .2.2 Width and torsion.2.3 A geometry on Ham(M; $\omega$).2.4 Width and distortion.2.5 More remarks on the Zimmer program.3 The Calabi quasimorphism and related topics.3.1 Extending the Calabi homomorphism.3.2 Introducing quasimorphisms.3.3 Quasimorphisms on.
 Ham(M; $\omega$).3.4 Distortion in Hofer's norm on Ham(M; $\omega$)
 3.5 Existence and uniqueness of Calabi quasimorphisms.3.6 "Hyperbolic" features of Ham(M; $\omega$)? .3.7 From $\pi$1(M) to Diff0(M; $\Omega$)
 Symplectic topology and Hamilton
 Jacobi equations
 1 Introduction to symplectic geometry and generating functions.1.1 Uniqueness and first symplectic invariants.2 The calculus of critical level sets.2.1 The case of GFQI.2.2 Applications.3 Hamilton
 Jacobi equations and generating functions.4 Coupled Hamilton
 Jacobi equations.Index.
10. Introduction to symplectic Dirac operators [2006]
 Habermann, Katharina, 1966
 Berlin : Springer, 2006.
 Description
 Book — xii, 120 p. ; 24 cm.
 Summary

 Preface.
 1. Background on Symplectic Spinors.
 2. Symplactic Connections.
 3. Symplectic Spinor Fields.
 4. Symplectic Dirac Operators.
 5. An Associated Second Order Operator.
 6. The Kahler Case.
 7. Fourier Transform for Symplectic Spinors.
 8. Lie Derivative and Quantization. References. Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Serials  Request (opens in new tab) 
Shelved by Series title V.1887  Unknown 
 Providence, R.I. : American Mathematical Society, c2003.
 Description
 Book — vi, 199 p. : ill. ; 26 cm.
 Summary

 Kahler geometry of toric manifolds in symplectic coordinates by M. Abreu The curvature and the integrability of almostKahler manifolds: A survey by V. Apostolov and T. Draghici A MorseBott approach to contact homology by F. Bourgeois Deforming surfaces in four dimensional manifolds by J. Chen Integrability and the Einstein equations by A. Dancer and M. Y. Wang On the invariants of Legendrian mirror torus links by J. Epstein and D. Fuchs Symplectically harmonic cohomology of nilmanifolds by R. Ibanez, Yu. Rudyak, A. Tralle, and L. Ugarte GodbillonVey invariants for families of foliations by D. Kotschick A note on extended complex manifolds by S. A. Merkulov On action of symplectomorphisms of the complex plane on pairs of matrices by V. Pidstrygach Slow symplectic maps, continued fractions, and related stories by L. Polterovich The gluing construction for normally generic $J$holomorphic curves by J.C. Sikorav.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  Request (opens in new tab) 
QA613.659 .S88 2003  Unknown 
 Wendl, Chris, author.
 Cambridge ; New York, NY : Cambridge University Press, 2020
 Description
 Book — 1 online resource
 Summary

 Introduction
 1. Closed holomorphic curves in symplectic 4manifolds
 2. Intersections, ruled surfaces and contact boundaries
 3. Asymptotics of punctured holomorphic curves
 4. Intersection theory for punctured holomorphic curves
 5. Symplectic fillings of planar contact 3manifolds Appendix A. Properties of pseudoholomorphic curves Appendix B. Local positivity of intersections Appendix C. A quick survey of Siefring's intersection theory References Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Wendl, Chris, author.
 Cambridge, United Kingdom ; New York, NY, USA : Cambridge University Press, 2020
 Description
 Book — viii, 185 pages : illustrations ; 24 cm
 Summary

 Introduction
 1. Closed holomorphic curves in symplectic 4manifolds
 2. Intersections, ruled surfaces and contact boundaries
 3. Asymptotics of punctured holomorphic curves
 4. Intersection theory for punctured holomorphic curves
 5. Symplectic fillings of planar contact 3manifolds Appendix A. Properties of pseudoholomorphic curves Appendix B. Local positivity of intersections Appendix C. A quick survey of Siefring's intersection theory References Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  Request (opens in new tab) 
QA613.659 .W46 2020  Unavailable Ask at circulation desk 
14. Orthogonal and symplectic nlevel densities [2017]
 Mason, A. M. (Amy Marie), 1985 author.
 Providence, RI : American Mathematical Society, [2018]
 Description
 Book — v, 93 pages : illustrations ; 26 cm.
 Summary

 IntroductionEigenvalue statistics of orthogonal matricesEigenvalue statistics of symplectic matrices$L$functionsZero statistics of elliptic curve $L$functionsZero statistics of quadratic Dirichlet $L$functions$n$level densities with restricted support Example calculationsBibliography.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Serials  Request (opens in new tab) 
Shelved by Series title NO.1194  Unknown 
 Banyaga, Augustin.
 Singapore : World Scientific Publishing Co. Pte Ltd., c2017.
 Description
 Book — 1 online resource (178 p.)
 Summary

"The book introduces the basic notions in Symplectic and Contact Geometry at the level of the second year graduate student. It also contains many exercises, some of which are solved only in the last chapter. We begin with the linear theory, then give the definition of symplectic manifolds and some basic examples, review advanced calculus, discuss Hamiltonian systems, tour rapidly group and the basics of contact geometry, and solve problems in chapter 8. The material just described can be used as a one semester course on Symplectic and Contact Geometry. The book contains also more advanced material, suitable to advanced graduate students and researchers."Publisher's website.
16. Elementary symplectic topology and mechanics [2015]
 Cardin, Franco, author.
 Cham [Switzerland] : Springer, [2015]
 Description
 Book — 1 online resource. Digital: text file; PDF.
 Summary

 Beginning. Notes on Differential Geometry. Symplectic Manifolds. Poisson brackets environment. Cauchy Problem for HJ equations. Calculus of Variations and Conjugate Points. Asymptotic Theory of Oscillating Integrals. LusternikSchnirelman and Morse. Finite Exact Reductions. Other instances. Bibliography.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Zurich : European Mathematical Society Publishing House, 2015.
 Description
 Book — 1 online resource : illustrations
 Summary

In the late 1990s two initially unrelated developments brought free loop spaces into renewed focus. In 1999, Chas and Sullivan introduced a wealth of new algebraic operations on the homology of these spaces under the name of string topology, the full scope of which is still not completely understood. A few years earlier, Viterbo had discovered a first deep link between the symplectic topology of cotangent bundles and the topology of their free loop space. In the past 15 years, many exciting connections between these two viewpoints have been found. Still, researchers working on one side of the story often know quite little about the other. One of the main purposes of this book is to facilitate communication between topologists and symplectic geometers thinking about free loop spaces. It was written by active researchers coming to the topic from both perspectives and provides a concise overview of many of the classical results, while also beginning to explore the new directions of research that have emerged recently. As one highlight, it contains a research monograph by M. Abouzaid which proves a strengthened version of Viterbo's isomorphism between the homology of the free loop space of a manifold and the symplectic cohomology of its cotangent bundle, following a new strategy. The book grew out of a learning seminar on free loop spaces held at Strasbourg University in 20082009, and should be accessible to a graduate student with a general interest in the topic. It focuses on introducing and explaining the most important aspects rather than offering encyclopedic coverage, while providing the interested reader with a broad basis for further studies and research.
18. Lowdimensional and symplectic topology [2011]
 Georgia International Topology Conference (2009 : University of Georgia)
 Providence, R.I. : American Mathematical Society, c2011.
 Description
 Book — ix, 228 p. : ill. ; 26 cm.
 Summary

Every eight years since 1961, the University of Georgia has hosted a major international topology conference aimed at disseminating important recent results and bringing together researchers at different stages of their careers. This volume contains the proceedings of the 2009 conference, which includes survey and research articles concerning such areas as knot theory, contact and symplectic topology, 3manifold theory, geometric group theory, and equivariant topology. Among other highlights of the volume, a survey article by Stefan Friedl and Stefano Vidussi provides an accessible treatment of their important proof of Taubes' conjecture on symplectic structures on the product of a 3manifold and a circle, and an intriguing short article by Dennis Sullivan opens the door to the use of modern algebraictopological techniques in the study of finitedimensional models of famously difficult problems in fluid dynamics. Continuing what has become a tradition, this volume contains a report on a problem session held at the conference, discussing a variety of open problems in geometric topology.
(source: Nielsen Book Data)
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  Request (opens in new tab) 
QA1 .A626 V.82  Unknown 
 Providence, Rhode Island : American Mathematical Society ; [Stony Brook, New York] : Simons Center for Geometry and Physics, [2019]
 Description
 Book — xv, 298 pages : illustrations ; 27 cm.
 Summary

 Introduction / by John W. Morgan
 Notes on Kuranishi atlases / by Dusa McDuff
 GromovWitten theory via Kuranishi structures /rby Mohammad F. Tehrani and Kenji Fukaya
 Kuranishi spaces as a 2category / by Dominic Joyce.
(source: Nielsen Book Data)
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  Request (opens in new tab) 
QA3 .A4 V.237  Unknown 
20. Jholomorphic curves and symplectic topology [2012]
 McDuff, Dusa, 1945
 2nd ed.  Providence, R.I. : American Mathematical Society, c2012.
 Description
 Book — xiv, 726 p. ; 26 cm.
 Summary

The theory of $J$holomorphic curves has been of great importance since its introduction by Gromov in 1985. In mathematics, its applications include many key results in symplectic topology. It was also one of the main inspirations for the creation of Floer homology. In mathematical physics, it provides a natural context in which to define GromovWitten invariants and quantum cohomology, two important ingredients of the mirror symmetry conjecture. The main goal of this book is to establish the fundamental theorems of the subject in full and rigourous detail. In particular, the book contains complete proofs of Gromov's compactness theorem for spheres, of the gluing theorem for spheres, and of the associatively of quantum multiplication in the semipositive case. The book can also serve as an introduction to current work in symplectic topology: there are two long chapters on applications, one concentrating on classical results in symplectic topology and the other concerned with quantum cohomology. The last chapter sketches some recent developments in Floer theory. The five appendices of the book provide necessary background related to the classical theory of linear elliptic operators, Fredholm theory, Sobolev spaces, as well as a discussion of the moduli space of genus zero stable curves and a proof of the positivity of intersections of $J$holomorphic curves in fourdimensional manifolds. The second edition clarifies various arguments, corrects several mistakes in the first edition, includes some additional results in Chapter 10 and Appendices C and D, and updates the references to recent developments.
(source: Nielsen Book Data)
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  Request (opens in new tab) 
QA1 .A5225 V.52 2ND ED  Unknown 
Articles+
Journal articles, ebooks, & other eresources
Guides
Course and topicbased guides to collections, tools, and services.