Topological Invariants of Stratified Spaces

Author: Markus Banagl
Publisher: Springer Science & Business Media
ISBN: 3540385878
Format: PDF, Mobi
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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. Highlights include complete and 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.

Topology of Stratified Spaces

Author: Greg Friedman
Publisher: Cambridge University Press
ISBN: 052119167X
Format: PDF, Mobi
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This book explores the study of singular spaces using techniques from areas within geometry and topology and the interactions among them.

Intersection Spaces Spatial Homology Truncation and String Theory

Author: Markus Banagl
Publisher: Springer Science & Business Media
ISBN: 3642125883
Format: PDF
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The present monograph introduces a method that assigns to certain classes of stratified spaces cell complexes, called intersection spaces, whose ordinary rational homology satisfies generalized Poincaré duality.

Singularities I

Author: Dũng Tráng Lê
Publisher: American Mathematical Soc.
ISBN: 082184458X
Format: PDF, Docs
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This is the first part of the Proceedings of the meeting 'School and Workshop on the Geometry and Topology of Singularities', held in Cuernavaca, Mexico, from January 8th to 26th of 2007, in celebration of the 60th Birthday of Le Dung Trang.This volume contains fourteen cutting-edge research articles on algebraic and analytic aspects of singularities of spaces and maps. By reading this volume, and the accompanying volume on geometric and topological aspects of singularities, the reader should gain an appreciation for the depth, breadth, and beauty of the subject, and also find a rich source of questions and problems for future study.

Stratified Lie Groups and Potential Theory for Their Sub Laplacians

Author: Andrea Bonfiglioli
Publisher: Springer Science & Business Media
ISBN: 3540718974
Format: PDF
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This book provides an extensive treatment of Potential Theory for sub-Laplacians on stratified Lie groups. It also provides a largely self-contained presentation of stratified Lie groups, and of their Lie algebra of left-invariant vector fields. The presentation is accessible to graduate students and requires no specialized knowledge in algebra or differential geometry.