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  • © 2010

Intersection Spaces, Spatial Homology Truncation, and String Theory

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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1997)

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Table of contents (3 chapters)

  1. Front Matter

    Pages i-xvi
  2. Homotopy Theory

    • Markus Banagl
    Pages 1-106
  3. Intersection Spaces

    • Markus Banagl
    Pages 107-189
  4. String Theory

    • Markus Banagl
    Pages 191-209
  5. Back Matter

    Pages 211-223

About this book

Intersection cohomology assigns groups which satisfy a generalized form of Poincaré duality over the rationals to a stratified singular space. This monograph introduces a method that assigns to certain classes of stratified spaces cell complexes, called intersection spaces, whose ordinary rational homology satisfies generalized Poincaré duality. The cornerstone of the method is a process of spatial homology truncation, whose functoriality properties are analyzed in detail. The material on truncation is autonomous and may be of independent interest tohomotopy theorists. The cohomology of intersection spaces is not isomorphic to intersection cohomology and possesses algebraic features such as perversity-internal cup-products and cohomology operations that are not generally available for intersection cohomology. A mirror-symmetric interpretation, as well as applications to string theory concerning massless D-branes arising in type IIB theory during a Calabi-Yau conifold transition, are discussed.

Keywords

  • Homotopy
  • Homotopy Theory
  • Intersection homology
  • K-theory
  • Singularities
  • Stratified Spaces
  • String Theory
  • cohomology
  • homology
  • vector bundle

Authors and Affiliations

  • Mathematics Institute, University of Heidelberg, Heidelberg, Germany

    Markus Banagl

Bibliographic Information

Buying options

eBook USD 44.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 59.95
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions