Topology of stratified spaces / edited by Greg Friedman ... [and others].

Format:

Book

Contributor:

Friedman, Greg, 1973-

Series:

Mathematical Sciences Research Institute publications ; 58.

Mathematical sciences research institute publications ; 58

Language:

English

Subjects (All):

Singularities (Mathematics).

Algebraic spaces.

Algebraic topology.

Physical Description:

xi, 477 pages : illustrations ; 24 cm.

Place of Publication:

Cambridge ; New York : Cambridge University Press, 2011.

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.

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.

Notes:

Includes bibliographical references and index.

ISBN:

9780521191678

052119167X

OCLC:

665137568