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Author Banagl, Markus, 1971-

Title Intersection spaces, spatial homology truncation, and string theory / Markus Banagl
Published Berlin ; Heidelberg : Springer-Verlag, ©2010

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Description 1 online resource (xvi, 217 pages)
Series Lecture notes in mathematics ; 1997
Lecture notes in mathematics (Springer-Verlag) ; 1997.
Summary Annotation 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
Bibliography Includes bibliographical references (pages 211-213) and index
Notes Print version record
Subject Intersection homology theory.
Homotopy theory.
Homotopy theory.
Intersection homology theory.
Homologietheorie
Stringtheorie
Poincaré-Dualität
Schnitthomologie
Homotopietheorie
Stratifizierter Raum
Genre/Form Electronic books
Form Electronic book
LC no. 2010928327
ISBN 9783642125898
3642125891
3642125883
9783642125881