Current Trends in Transformation Groups
Published on 31. July 2002
Book
Hardback
XII, 252 pages
978-1-4020-0783-5 (ISBN)
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 these accounts.
More details
Series
Edition
2002 ed.
Language
English
Place of publication
Dordrecht
Netherlands
Target group
Professional and scholarly
Research
Illustrations
XII, 252 p.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 20 mm
Weight
571 gr
ISBN-13
978-1-4020-0783-5 (9781402007835)
DOI
10.1007/978-94-009-0003-5
Schweitzer Classification
Other editions
Additional editions
Anthony Bak | Masaharu Morimoto | Fumihiro Ushitaki
Current Trends in Transformation Groups
Book
09/2011
Springer
€53.49
Shipment within 15-20 days
Content
1. Hilbert's fifth problem and proper actions of Lie groups.- 2. Equivariant algebraic vector bundles over representations - a survey.- 3. G-manifolds and G-vector bundles in algebraic, semialgebraic, and definable categories.- 4. Geometry of Finite Topological spaces and equivariant finite topological spaces.- 5. On the theory of homotopy representations. A survey.- 6. Manifolds as fixed point sets of smooth compact Lie group actions.- 7. Surgery and homotopy theory in study of the transformation groups.- 8. Kervaire's obstructions of free actions of finite cyclic groups on homotopy spheres.- 9. The Burnside ring revisited.- 10. Multiplicative stabilization and transformation groups.- 11. Symmetries on manifolds, deformations and rational homotopy: a survey.- 12. Rigidity of codimension one locally free actions of solvable Lie groups.- 13. Smooth actions of non-compact semi-simple Lie groups.- 14. Hamiltonian group actions ana equivariant indices.- 15. Controlled methods in equivariant topology, a survey.