Lecture Notes in Mathematics
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Intersection Spaces, Spatial Homology Truncation, and String Theory

Authors: Banagl, Markus

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About this book

Intersection cohomology assigns groups which satisfy a generalized form of Poincaré duality over the rationals to a stratified singular space. The present 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 to homotopy 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.

Table of contents (3 chapters)

Table of contents (3 chapters)
  • Homotopy Theory

    Banagl, Markus

    Pages 1-106

  • Intersection Spaces

    Banagl, Markus

    Pages 107-189

  • String Theory

    Banagl, Markus

    Pages 191-209

Buy this book

eBook $44.99
price for USA in USD (gross)
  • ISBN 978-3-642-12589-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.95
price for USA in USD
  • ISBN 978-3-642-12588-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Intersection Spaces, Spatial Homology Truncation, and String Theory
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1997
Copyright
2010
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-12589-8
DOI
10.1007/978-3-642-12589-8
Softcover ISBN
978-3-642-12588-1
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XVI, 224
Topics