---

＜E-Book＞
Topological Invariants of Stratified Spaces / by Markus Banagl
(Springer Monographs in Mathematics. ISSN:21969922)

Edition	1st ed. 2007.
Publisher	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
Year	2007
Language	English
Size	XII, 264 p. 14 illus : online resource
Authors	*Banagl, Markus author SpringerLink (Online service)
Subjects	LCSH:Topology LCSH:Geometry, Differential LCSH:Algebraic topology FREE:Topology FREE:Differential Geometry FREE:Algebraic Topology
Notes	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

 Similar Items