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Topological Invariants of Stratified Spaces
Markus Banagl
€ 127.44
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Description for Topological Invariants of Stratified Spaces
Hardback. Focuses on the restoration of Poincare duality on stratified singular spaces by using Verdier-self-dual sheaves such as the prototypical intersection chain sheaf on a complex variety. This book provides proofs of decomposition theorems for self-dual sheaves and an explanation of methods for computing twisted characteristic classes. Series: Springer Monographs in Mathematics. Num Pages: 276 pages, 14 black & white illustrations, 7 black & white tables, biography. BIC Classification: PBC; PBK; PBMP. Category: (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 240 x 166 x 21. Weight in Grams: 542.
The homology of manifolds enjoys a remarkable symmetry: Poincaré duality. If the manifold is triangulated, then this duality can be established by associating to a s- plex its dual block in the barycentric subdivision. In a manifold, the dual block is a cell, so the chain complex based on the dual blocks computes the homology of the manifold. Poincaré duality then serves as a cornerstone of manifold classi cation theory. One reason is that it enables the de nition of a fundamental bordism inva- ant, the signature. Classifying manifolds via the surgery program relies on modifying a manifold by executing ... Read more
The homology of manifolds enjoys a remarkable symmetry: Poincaré duality. If the manifold is triangulated, then this duality can be established by associating to a s- plex its dual block in the barycentric subdivision. In a manifold, the dual block is a cell, so the chain complex based on the dual blocks computes the homology of the manifold. Poincaré duality then serves as a cornerstone of manifold classi cation theory. One reason is that it enables the de nition of a fundamental bordism inva- ant, the signature. Classifying manifolds via the surgery program relies on modifying a manifold by executing ... Read more
Product Details
Format
Hardback
Publication date
2007
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Number of pages
276
Condition
New
Series
Springer Monographs in Mathematics
Number of Pages
264
Place of Publication
Berlin, Germany
ISBN
9783540385851
SKU
V9783540385851
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Markus Banagl
EMPLOYMENT: Since 2004: Professor at the Ruprecht-Karls-Universität Heidelberg, Germany 2002 - 2004: Assistant Professor (tenure track) at the University of Cincinnati, USA 1999 - 2002: Van Vleck Assistant Professor at the University of Wisconsin - Madison, USA EDUCATION: Ph.D. Mathematics, Courant Institute (New York University), May 1999. Field: Topology. Dissertation Title: Extending Intersection Homology Type ... Read more
Reviews for Topological Invariants of Stratified Spaces
From the reviews: "This is an excellent book, highly recommended to anyone interested in studying the topology of singular spaces. With modest prerequisites, the author defines intersection homology (both chain- and sheaf-theoretic), gives a self-contained treatment of t-structures and perverse sheaves, and explains the construction as well as algebraic and geometric properties of invariants such ... Read more