Description
Topology of Stratified Spaces
Mathematical Sciences Research Institute Publications Series
Coordinators: Friedman Greg, Hunsicker Eugénie, Libgober Anatoly, Maxim Laurentiu
This book explores the study of singular spaces using techniques from areas within geometry and topology and the interactions among them.
Language: EnglishSubject for Topology of Stratified Spaces:
Topology of Stratified Spaces
Publication date: 10-2014
Support: Print on demand
Publication date: 10-2014
Support: Print on demand
Topology of stratified spaces
Publication date: 03-2011
490 p. · 15.6x23.4 cm · Hardback
Publication date: 03-2011
490 p. · 15.6x23.4 cm · Hardback
Description
/li>Contents
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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.
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.
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