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Equivariant surgery theories and their periodicity properties

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...

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Detalles Bibliográficos
Autores principales: Dovermann, Karl Heinz, Schultz, Reinhard
Lenguaje:eng
Publicado: Springer 1990
Materias:
Acceso en línea:https://dx.doi.org/10.1007/BFb0092354
http://cds.cern.ch/record/1691459
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author Dovermann, Karl Heinz
Schultz, Reinhard
author_facet Dovermann, Karl Heinz
Schultz, Reinhard
author_sort Dovermann, Karl Heinz
collection CERN
description 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theory for advanced graduate students and researchers in related areas, or as an account of the authors' previously unpublished work on periodicity for specialists in surgery theory or transformation groups.
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spelling cern-16914592021-04-21T21:09:46Zdoi:10.1007/BFb0092354http://cds.cern.ch/record/1691459engDovermann, Karl HeinzSchultz, ReinhardEquivariant surgery theories and their periodicity propertiesMathematical Physics and MathematicsThe 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.Springeroai:cds.cern.ch:16914591990
spellingShingle Mathematical Physics and Mathematics
Dovermann, Karl Heinz
Schultz, Reinhard
Equivariant surgery theories and their periodicity properties
title Equivariant surgery theories and their periodicity properties
title_full Equivariant surgery theories and their periodicity properties
title_fullStr Equivariant surgery theories and their periodicity properties
title_full_unstemmed Equivariant surgery theories and their periodicity properties
title_short Equivariant surgery theories and their periodicity properties
title_sort equivariant surgery theories and their periodicity properties
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/BFb0092354
http://cds.cern.ch/record/1691459
work_keys_str_mv AT dovermannkarlheinz equivariantsurgerytheoriesandtheirperiodicityproperties
AT schultzreinhard equivariantsurgerytheoriesandtheirperiodicityproperties