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Intersection Spaces, Spatial Homology Truncation, and String

Name: Intersection Spaces, Spatial Homology Truncation, and String
Brand: Springer-Verlag GmbH
SKU: 04334350
Price: 60.91 EUR
Availability: InStock
Author: Markus Banagl
ISBN: 9783642125881

Markus Banagl

Language

English

Book Paperback

Libristo code: 04334350

Publishers Springer-Verlag GmbH, July 2010

Intersection cohomology assigns groups which satisfy a generalized form of Poincaré duality over the... Full description

Libristo code: 04334350

148 b

60.91 €

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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.