By Markus Banagl

ISBN-10: 3540385851

ISBN-13: 9783540385851

ISBN-10: 3642072488

ISBN-13: 9783642072482

The primary subject of this publication is the recovery of Poincaré duality on stratified singular areas through the use of Verdier-self-dual sheaves corresponding to the prototypical intersection chain sheaf on a fancy style. After conscientiously 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 reminiscent of the signature and attribute periods effectuated by way of self-dual sheaves. Highlights by no means sooner than offered in e-book shape contain whole and extremely specific proofs of decomposition theorems for self-dual sheaves, clarification of tools for computing twisted attribute sessions and an advent to the author's idea of non-Witt areas and Lagrangian structures.

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Topological Invariants of Stratified Spaces (Springer Monographs in Mathematics) by Markus Banagl


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