Topology of stratified spaces
By: edited by Greg Friedman ... [et al.].
Series: Mathematical sciences research institute publications -- 58; Mathematical Sciences Research Institute publications -- 58.
Publisher: Cambridge University Press
Published: 2011
Place of publication: Cambridge; New York
Language: eng
Number of pages: 477
ISBN-13: 9780521191678
Subjects: Algebraic spaces; Singularities (Mathematics); Algebraic topology
Description: "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.
Notes: Includes bibliographical references and index.
Table of contents: title: An introduction to L2 cohomology  -- Xianzhe Dai; title: The almost closed range condition  -- Gilles Carron; title: Rigidity of differential operators and chern numbers of singular varieties  -- Robert Waelder; title: Hodge theory meets the minimal model program: a survey of log canonical and du Bois singularities  -- Sándor J. Kovács and Karl Schwede; title: Elliptic genera, real algebraic varieties and quasi-Jacobi forms  -- Anatoly Libgober; title: The weight filtration for real algebraic varieties  -- Clint McCrory and Adam Parusínski; title: On the Milnor classes of complex hypersurfaces  -- Laurentiu Maxim; title: An introduction to intersection homology with general perversity functions  -- Greg Friedman; title: The signature of singular spaces and its refinements to generalized homology theories  -- Markus Banagl; title: Intersection homology Wang sequence  -- Filipp Levikov -- An exponential history of functions with logarithmic growth / -- Matt Kerr and Gregory Pearlstein; title: Motivic characteristic classes  -- Shoji Yokura; title: Characteristic classes of mixed Hodge modules -- Jörg Schürmann.