topological invariants of stratified spaces springer monographs in mathematics

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Topological Invariants Of Stratified Spaces

Author : Markus Banagl
ISBN : 9783540385875
Genre : Mathematics
File Size : 88. 74 MB
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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
ISBN : 9780521191678
Genre : Mathematics
File Size : 42. 71 MB
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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
ISBN : 9783642125881
Genre : Mathematics
File Size : 58. 47 MB
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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 : Dung Tráng Lê
ISBN : 9780821844588
Genre : Mathematics
File Size : 88. 60 MB
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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.

Mathematical Reviews

Author :
ISBN : UOM:39015078588590
Genre : Mathematics
File Size : 85. 31 MB
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Annales Scientifiques De L Cole Normale Sup Rieure

Author : École normale supérieure (France)
ISBN : MINN:31951P01149002R
Genre : Electronic journals
File Size : 69. 65 MB
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Pamq

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ISBN : UOM:39015072604062
Genre : Mathematics
File Size : 52. 91 MB
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Bulletin Of The American Mathematical Society

Author :
ISBN : UOM:49015003188605
Genre : Mathematics
File Size : 51. 33 MB
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Bulletin New Series Of The American Mathematical Society

Author :
ISBN : UOM:39076001930002
Genre : Mathematics
File Size : 80. 1 MB
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Equivariant Surgery Theories And Their Periodicity Properties

Author : Karl H. Dovermann
ISBN : 3540530428
Genre : Mathematics
File Size : 31. 45 MB
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The theory of surgery on manifolds has been generalized to categories of manifolds with group actions in several different ways. This book discusses some basic properties that such theories have in common. Special emphasis is placed on analogs of the fourfold periodicity theorems in ordinary surgery and the roles of standard general position hypotheses on the strata of manifolds with group actions. The contents of the book presuppose some familiarity with the basic ideas of surgery theory and transformation groups, but no previous knowledge of equivariant surgery is assumed. The book is designed to serve either as an introduction to equivariant surgery theory for advanced graduate students and researchers in related areas, or as an account of the authors' previously unpublished work on periodicity for specialists in surgery theory or transformation groups.

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