Topological Invariants of Stratified Spaces (Springer by Markus Banagl

By Markus Banagl

The crucial topic of this publication is the recovery of Poincaré duality on stratified singular areas through the use of Verdier-self-dual sheaves similar to the prototypical intersection chain sheaf on a posh kind. After rigorously introducing sheaf concept, derived different types, Verdier duality, stratification theories, intersection homology, t-structures and perverse sheaves, the last word goal is to provide an explanation for the development in addition to algebraic and geometric homes of invariants equivalent to the signature and attribute periods effectuated by means of self-dual sheaves. Highlights by no means sooner than offered in e-book shape comprise entire and extremely targeted proofs of decomposition theorems for self-dual sheaves, rationalization of equipment for computing twisted attribute sessions and an creation to the author's concept of non-Witt areas and Lagrangian structures.

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