Intersection Spaces, Spatial Homology Truncation, and String

Name: Intersection Spaces, Spatial Homology Truncation, and String
Brand: Springer-Verlag GmbH
SKU: 9783642125881
Price: 56.44 EUR
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Autor: Markus Banagl

Jazyk:

Väzba: Brožovaná

Vydavateľ: Springer-Verlag GmbH

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

Informácie o knihe

Autor

Markus Banagl

Jazyk

Angličtina

Väzba

Kniha - Brožovaná

Vydalo

2010

Stránok

224

EAN

9783642125881

ISBN

3642125883

Enbook ID

04334350

Vydavateľ

Springer-Verlag GmbH

Hmotnosť

367

Rozmery

156 x 234 x 20

Kompletný popis

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.

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Intersection Spaces, Spatial Homology Truncation, and String

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