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Look Inside Topology of Stratified Spaces

Topology of Stratified Spaces

$109.99

Part of Mathematical Sciences Research Institute Publications

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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  • Date Published: March 2011
  • availability: In stock
  • format: Hardback
  • isbn: 9780521191678

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About the Authors
  • 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.

    • Provides expository papers on the topology of stratified spaces as opposed to new research
    • Provides an interdisciplinary discussion within the world of stratified space research
    • Offers special introductory papers written by experts from the field
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    Product details

    • Date Published: March 2011
    • format: Hardback
    • isbn: 9780521191678
    • length: 488 pages
    • dimensions: 240 x 165 x 32 mm
    • weight: 0.83kg
    • availability: In stock
  • Table of Contents

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

  • Editors

    Greg Friedman, Texas Christian University

    Eugénie Hunsicker, Loughborough University

    Anatoly Libgober, University of Illinois, Chicago

    Laurentiu Maxim, University of Wisconsin, Madison

    Contributors

    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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