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＜電子ブック＞
Topological Invariants of Stratified Spaces / by Markus Banagl
(Springer Monographs in Mathematics. ISSN:21969922)

版	1st ed. 2007.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2007
本文言語	英語
大きさ	XII, 264 p. 14 illus : online resource
著者標目	*Banagl, Markus author SpringerLink (Online service)
件　名	LCSH:Topology LCSH:Geometry, Differential LCSH:Algebraic topology FREE:Topology FREE:Differential Geometry FREE:Algebraic Topology
一般注記	Elementary Sheaf Theory -- Homological Algebra -- Verdier Duality -- Intersection Homology -- Characteristic Classes and Smooth Manifolds -- Invariants of Witt Spaces -- T-Structures -- Methods of Computation -- Invariants of Non-Witt Spaces -- L2 Cohomology The central theme of this book is the restoration of Poincaré duality on stratified singular spaces by using Verdier-self-dual sheaves such as the prototypical intersection chain sheaf on a complex variety. After carefully introducing sheaf theory, derived categories, Verdier duality, stratification theories, intersection homology, t-structures and perverse sheaves, the ultimate objective is to explain the construction as well as algebraic and geometric properties of invariants such as the signature and characteristic classes effectuated by self-dual sheaves. Highlights never before presented in book form include complete and very detailed proofs of decomposition theorems for self-dual sheaves, explanation of methods for computing twisted characteristic classes and an introduction to the author's theory of non-Witt spaces and Lagrangian structures HTTP:URL=https://doi.org/10.1007/3-540-38587-8

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