Intersection Spaces, Spatial Homology Truncation, and String Theory

byMarkus Banagl

Paperback | July 10, 2010

Intersection Spaces, Spatial Homology Truncation, and String Theory by Markus Banagl
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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.
Title:Intersection Spaces, Spatial Homology Truncation, and String TheoryFormat:PaperbackProduct dimensions:224 pages, 9.25 X 6.1 X 0 inShipping dimensions:224 pages, 9.25 X 6.1 X 0 inPublished:July 10, 2010Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3642125883

ISBN - 13:9783642125881

Appropriate for ages: All ages

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