Intersection Spaces, Spatial Homology Truncation, and String Theory (e-bok)
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Språk
Engelska
Utgivningsdatum
2010-06-16
Förlag
Springer Berlin Heidelberg
ISBN
9783642125898

Intersection Spaces, Spatial Homology Truncation, and String Theory E-bok

av Markus Banagl
E-bok (PDF, LCP),  Engelska, 2010-06-16
679
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Intersection cohomology assigns groups which satisfy a generalized form of Poincare 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, whoseordinary rational homology satisfies generalized Poincare 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.
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