Intersection Spaces, Spatial Homology Truncation, and String Theory [electronic resource] / by Markus Banagl.
Material type: TextSeries: Lecture Notes in Mathematics ; 1997Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010Description: XVI, 224 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783642125898Subject(s): Mathematics | Geometry, algebraic | Topology | Algebraic topology | Cell aggregation -- Mathematics | Mathematical physics | Mathematics | Algebraic Geometry | Algebraic Topology | Topology | Manifolds and Cell Complexes (incl. Diff.Topology) | Quantum Field Theories, String Theory | Mathematical Methods in PhysicsAdditional physical formats: Printed edition:: No titleDDC classification: 516.35 LOC classification: QA564-609Online resources: Click here to access online In: Springer eBooksSummary: Intersection cohomology assigns groups which satisfy a generalized form of Poincaré duality over the rationals to a stratified singular space. The present 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 to homotopy 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.Current library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
---|---|---|---|---|---|---|---|
IMSc Library | IMSc Library | Link to resource | Available | EBK1942 |
Intersection cohomology assigns groups which satisfy a generalized form of Poincaré duality over the rationals to a stratified singular space. The present 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 to homotopy 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.
There are no comments on this title.