Topology of stratified spaces

Author(s)

• Friedman, Greg

Bibliographic Information

Topology of stratified spaces

edited by Greg Friedman ... [et al.]

（Mathematical Sciences Research Institute publications, 58）

Cambridge University Press, 2011

• : hardback

Note

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

Includes bibliographical references

Description and Table of Contents

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.

Table of Contents

• 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 Sandor J. Kovacs 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 Joerg Schurmann.

by "Nielsen BookData"

Details

• NCID: BB05472766
• ISBN:
  • 9780521191678
• LCCN: 2010051108
• Country Code: uk
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Cambridge ; Tokyo
• Pages/Volumes: xi, 477 p.
• Size: 25 cm
• Classification:
  • LCC : QA614.58
  • DC22 : 516.3/5
• Subject Headings:
  • LCSH : Singularities (Mathematics)
  • LCSH : Algebraic spaces
  • LCSH : Algebraic topology
  • FREE : MATHEMATICS / Topology bisacsh
• Parent Bibliography ID:
  • BA00044859