| 书目名称 | Intersection Spaces, Spatial Homology Truncation, and String Theory | | 编辑 | Markus Banagl | | 视频video | | | 概述 | Includes supplementary material: | | 丛书名称 | Lecture Notes in Mathematics | | 图书封面 |  | | 描述 | 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. | | 出版日期 | Book 2010 | | 关键词 | Homotopy; Homotopy Theory; Intersection homology; K-theory; Singularities; Stratified Spaces; String Theor | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-642-12589-8 | | isbn_softcover | 978-3-642-12588-1 | | isbn_ebook | 978-3-642-12589-8Series ISSN 0075-8434 Series E-ISSN 1617-9692 | | issn_series | 0075-8434 | | copyright | Springer-Verlag Berlin Heidelberg 2010 |
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发表于 2025-3-21 16:34:31
