Topology of Stratified Spaces

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Greg Friedman (Texas Christian University) Eugénie Hunsicker (Loughborough University)

Topology of Stratified Spaces

Greg Friedman (Texas Christian University), Eugénie Hunsicker (Loughborough University), Anatoly Libgober (University of Illinois, Chicago) , Laurentiu Maxim (University of Wisconsin, Madison)

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English

Cambridge University Press
30 October 2014

Topology; Applied mathematics

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.

Edited by: Greg Friedman (Texas Christian University), Eugénie Hunsicker (Loughborough University), Anatoly Libgober (University of Illinois, Chicago), Laurentiu Maxim (University of Wisconsin, Madison)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Volume: 58
Dimensions: Height: 234mm, Width: 156mm, Spine: 25mm
Weight: 680g
ISBN: 9781107459472
ISBN 10: 1107459478
Pages: 490
Publication Date: 30 October 2014
Audience: College/higher education , Professional and scholarly , Further / Higher Education , Undergraduate
Format: Paperback
Publisher's Status: Active

1. An introduction to L2 cohomology Xianzhe Dai; 2. The almost closed range condition Gilles Carron; 3. Rigidity of differential operators and Chern numbers of singular varieties Robert Waelder; 4. Hodge theory meets the minimal model program: a survey of log canonical and du Bois singularities Sándor J. Kovács and Karl Schwede; 5. Elliptic genera, real algebraic varieties and quasi-Jacobi forms Anatoly Libgober; 6. The weight filtration for real algebraic varieties Clint McCrory and Adam Parusinski; 7. On the Milnor classes of complex hypersurfaces Laurentiu Maxim; 8. An introduction to intersection homology with general perversity functions Greg Friedman; 9. The signature of singular spaces and its refinements to generalized homology theories Markus Banagl; 10. Intersection homology Wang sequence Filipp Levikov; 11. An exponential history of functions with logarithmic growth Matt Kerr and Gregory Pearlstein; 12. Motivic characteristic classes Shoji Yokura; 13. Characteristic classes of mixed Hodge modules Jörg Schürmann.