Intersection Spaces, Spatial Homology Truncation, and String Theory
 |
|
Описание:
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.Похожие книги
 | Complete Intersection Год: 2011 |
 | Mixed Motives and Their Realization in Derived Categories Автор: Huber A. Год: 1995 |
| Connections, curvature and cohomology. Vol. III: Cohomology of principal bundles and homogeneous spaces Автор: Werner Hildbert Greub Год: 1975 |
 | Endoscopy for GSp(4) and the cohomology of Siegel modular threefolds Автор: Rainer Weissauer Год: 2009 |
| Mixed Motives Автор: Marc Levine Год: 1998 |
| Supersymmetry and equivariant de Rham theory Автор: Guillemin V., Sternberg S. Год: 1999 |