TY  - BOOK
AU  - Banagl,Markus
ED  - SpringerLink (Online service)
TI  - Intersection Spaces, Spatial Homology Truncation, and String Theory
T2  - Lecture Notes in Mathematics,
SN  - 9783642125898
AV  - QA564-609 
U1  - 516.35 23
PY  - 2010///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Geometry, algebraic
KW  - Topology
KW  - Algebraic topology
KW  - Cell aggregation
KW  - Mathematical physics
KW  - Algebraic Geometry
KW  - Algebraic Topology
KW  - Manifolds and Cell Complexes (incl. Diff.Topology)
KW  - Quantum Field Theories, String Theory
KW  - Mathematical Methods in Physics
N2  - 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
UR  - http://dx.doi.org/10.1007/978-3-642-12589-8
ER  -