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Current Trends in Transformation Groups

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ISBN-10: 1402007833

ISBN-13: 9781402007835

Edition: 2002

Authors: Anthony Bak, Masaharu Morimoto, Fumihiro Ushitaki

List price: $139.00
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Description:

This book provides an overview of some of the most active topics in the theory of transformation groups over the past decades and stresses advances obtained in the last dozen years. The emphasis is on actions of Lie groups on manifolds and CW complexes. Manifolds and actions of Lie groups on them are studied in the linear, semialgebraic, definable, analytic, smooth, and topological categories. Equivalent vector bundles play an important role. The work is divided into fifteen articles and will be of interest to anyone researching or studying transformations groups. The references make it easy to find details and original accounts of the topics surveyed, including tools and theories used in…    
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Book details

List price: $139.00
Copyright year: 2002
Publisher: Springer London, Limited
Publication date: 7/31/2002
Binding: Hardcover
Pages: 252
Size: 6.25" wide x 9.25" long x 0.50" tall
Weight: 1.342
Language: English

Introduction
Hilbert's fifth problem and proper actions of Lie groups
Equivariant algebraic vector bundles over representations--a survey
G-manifolds and G-vector bundles in algebraic, semialgebraic, and definable categories
Geometry of Finite Topological spaces and equivariant finite topological spaces
On the theory of homotopy representations. A survey
Manifolds as fixed point sets of smooth compact Lie group actions
Surgery and homotopy theory in study of the transformation groups
Kervaire's obstructions of free actions of finite cyclic groups on homotopy spheres
The Burnside ring revisited
Multiplicative stabilization and transformation groups
Symmetries on manifolds, deformations and rational homotopy: a survey
Rigidity of codimension one locally free actions of solvable Lie groups
Smooth actions of non-compact semi-simple Lie groups
Hamiltonian group actions and equivariant indices
Controlled methods in equivariant topology, a survey
Index