Cambridge ; New York : Cambridge University Press, 2011.
Format:
Book
xi, 477 p. : ill. ; 24 cm.
Bibliography:
Includes bibliographical references and index.
Contents:
An introduction to L2 cohomology / Xianzhe Dai
The almost closed range condition / Gilles Carron
Rigidity of differential operators and chern numbers of singular varieties / Robert Waelder
Hodge theory meets the minimal model program: a survey of log canonical and du Bois singularities / Sándor J. Kovács and Karl Schwede
Elliptic genera, real algebraic varieties and quasi-Jacobi forms / Anatoly Libgober
The weight filtration for real algebraic varieties / Clint McCrory and Adam Parusínski
On the Milnor classes of complex hypersurfaces / Laurentiu Maxim
An introduction to intersection homology with general perversity functions / Greg Friedman
The signature of singular spaces and its refinements to generalized homology theories / Markus Banagl
Intersection homology Wang sequence / Filipp Levikov
An exponential history of functions with logarithmic growth / Matt Kerr and Gregory Pearlstein
Motivic characteristic classes / Shoji Yokura
Characteristic classes of mixed Hodge modules / Jörg Schürmann.
Summary:
"Appearance of singularities is pervasive in many problems in topology, differential geometry, and algebraic geometry. This book concerns the study of singular spaces using techniques from a variety of areas of geometry and topology and the interactions among them. Expository chapters by well-known experts cover intersection homology, L2 cohomology and differential operators, topology of algebraic varieties, signatures and characteristic classes, mixed Hodge theory, and elliptic genera of singular complex and real algebraic varieties. The book concludes with a list of open problems"--Provided by publisher.