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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, whoseordinary 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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Contenuti:
Homotopy Theory.- Intersection Spaces.- String Theory.
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- EditoreSpringer
- Data di pubblicazione2010
- ISBN 10 3642125883
- ISBN 13 9783642125881
- RilegaturaCopertina flessibile
- Numero di pagine240
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Intersection Spaces, Spatial Homology Truncation, and String Theory (Lecture Notes in Mathematics)
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Intersection Spaces, Spatial Homology Truncation, and String Theory (Lecture Notes in Mathematics) [Soft Cover ]
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Intersection Spaces, Spatial Homology Truncation, and String Theory (Lecture Notes in Mathematics, 1997)
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Intersection Spaces; Spatial Homology Truncation; and String Theory
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Intersection Spaces, Spatial Homology Truncation, and String Theory
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Intersection Spaces, Spatial Homology Truncation, and String Theory
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Descrizione libro Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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, whoseordinary 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. 224 pp. Englisch. Codice articolo 9783642125881
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Intersection Spaces, Spatial Homology Truncation, and String Theory
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Descrizione libro Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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, whoseordinary 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. Codice articolo 9783642125881
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Intersection Spaces, Spatial Homology Truncation, and String Theory
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