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Home > Catalog > Topology of Stratified Spaces
Topology of Stratified Spaces


  • Page extent: 490 pages
  • Size: 234 x 156 mm
  • Weight: 0.86 kg

Library of Congress

  • Dewey number: 516.3/5
  • Dewey version: 22
  • LC Classification: QA614.58 .T67 2011
  • LC Subject headings:
    • Singularities (Mathematics)
    • Algebraic spaces
    • Algebraic topology

Library of Congress Record

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 (ISBN-13: 9780521191678)

  • Also available in Paperback
  • Published March 2011

Manufactured on demand: supplied direct from the printer

$109.99 (C)

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.


Xianzhe Dai, Gilles Carron, Robert Waelder, Sándor J. Kovács, Karl Schwede, Anatoly Libgober, Clint McCrory, Adam Parusinski, Laurentiu Maxim, Greg Friedman, Markus Banagl, Filipp Levikov, Matt Kerr, Gregory Pearlstein, Shoji Yokura, Jörg Schürmann

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