Geometry of Spherical Space Form Groups

Geometry of Spherical Space Form Groups
1 899,- 1 899,-
Format E-Bok
Filformat PDF
Utgivelsesår 1989
Forlag World Scientific Publishing Co
Språk Engelsk
ISBN 9789814434423
Sider 372
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Om Geometry of Spherical Space Form Groups

In this volume, the geometry of spherical space form groups is studied using the eta invariant. The author reviews the analytical properties of the eta invariant of Atiyah-Patodi-Singer and describes how the eta invariant gives rise to torsion invariants in both K-theory and equivariant bordism. The eta invariant is used to compute the K-theory of spherical space forms, and to study the equivariant unitary bordism of spherical space forms and the Pinc and Spinc equivariant bordism groups for spherical space form groups. This leads to a complete structure theorem for these bordism and K-theory groups.There is a deep relationship between topology and analysis with differential geometry serving as the bridge. This book is intended to serve as an introduction to this subject for people from different research backgrounds.This book is intended as a research monograph for people who are not experts in all the areas discussed. It is written for topologists wishing to understand some of the analytic details and for analysists wishing to understand some of the topological ideas. It is also intended as an introduction to the field for graduate students. Contents:Partial Differential OperatorsK-Theory and CohomologyEquivariant BordismAuxiliary MaterialThe Additive Structure of MU(BG) Readership: Mathematicians.Key Features:A thought-provoking philosophical journey through macro-economics and the development of the two giants of the 20th century – communism and capitalismA practical guide and blueprint to a stewardship-based approach of the 21st centurySuitable for both an interested general audience and as a text for advanced undergraduate or graduate studentsEach chapter concludes with extensive questions suitable for private study or classroom discussion


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