- Libros
- Intersection Spaces, Spatial Homology Truncation, and String Theory
- Libros
- Intersection Spaces, Spatial Homology Truncation, and String Theory
Inglés
Sinopse Intersection Spaces, Spatial Homology Truncation, and String Theory
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.
EAN
9783642125881
Editorial
Ano de edición
2010
Idioma
Inglés
Colección
Lecture Notes in Mathematics
Alto
235
Ancho
155
46,75 €
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44,41 €
46.75 €
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44.41 €