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- Author: Markus Banagl
- Publisher: Springer
- ISBN-10: 3642072488
- ISBN-13: 9783642072482
- Format: 15.6 x 23.4 x 1.5 cm, minkšti viršeliai
- Language: English
- SAVE -10% with code: EXTRA
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Description
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.
The book first carefully introduces sheaf theory, derived categories, Verdier duality, stratification theories, intersection homology, t-structures and perverse sheaves. It then explains 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.
EXTRA 10 % discount with code: EXTRA
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- Author: Markus Banagl
- Publisher: Springer
- ISBN-10: 3642072488
- ISBN-13: 9783642072482
- Format: 15.6 x 23.4 x 1.5 cm, minkšti viršeliai
- Language: English English
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.
The book first carefully introduces sheaf theory, derived categories, Verdier duality, stratification theories, intersection homology, t-structures and perverse sheaves. It then explains 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.
Reviews