Topological Invariants of Stratified Spaces

• Main Author: Banagl, M. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.
• Series: Springer Monographs in Mathematics,
• Subjects: Mathematics.; Differential geometry.; Topology.; Algebraic topology.; Differential Geometry.; Algebraic Topology.

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...

Table of Contents:

• 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.