Current trends in transformation groups / edited by Anthony Bak, Masaharu Morimoto, and Fumihiro Ushitaki.

Format:

Book

Contributor:

Bak, Anthony.

Morimoto, Masaharu

Ushitaki, Fumihiro

Anne and Joseph Trachtman Memorial Book Fund.

Series:

K-monographs in mathematics ; v. 7.

K-monographs in mathematics ; v. 7

Language:

English

Subjects (All):

Lie groups.

Transformation groups.

Manifolds (Mathematics).

Physical Description:

xi, 249 pages : illustrations ; 25 cm.

Place of Publication:

Dordrecht ; Boston ; London : Kluwer Academic, [2002]

Contents:

1. Hilbert's fifth problem and proper actions of Lie groups / S. Illman 1

2. Equivariant algebraic vector bundles over representations

a survey / M. Masuda 25

3. G-manifolds and G-vector bundles in algebraic, semialgebraic, and definable categories / T. Kawakami 37

4. Geometry of Finite Topological spaces and equivariant finite topological spaces / S. Kono, F. Ushitaki 53

5. On the theory of homotopy representations. A survey / I. Nagasaki 65

6. Manifolds as fixed point sets of smooth compact Lie group actions / K. Pawalowski 79

7. Surgery and homotopy theory in study of the transformation groups / Y. Kitada 105

8. Kervaire's obstructions of free actions of finite cyclic groups on homotopy spheres / Y. Kitada 117

9. The Burnside ring revisited / M. Morimoto 129

10. Multiplicative stabilization and transformation groups / S. Kwasik, R. Schultz 147

11. Symmetries on manifolds, deformations and rational homotopy: a survey / M. Raussen 167

12. Rigidity of codimension one locally free actions of solvable Lie groups / N. Tsuchiya, A. Yamakawa 181

13. Smooth actions of non-compact semi-simple Lie groups / F. Uchida, K. Mukoyama 201

14. Hamiltonian group actions and equivariant indices / T. Takakura 217

15. Controlled methods in equivariant topology, a survey / E. Pedersen 231.

Notes:

Includes bibliographical references and index.

Local Notes:

Acquired for the Penn Libraries with assistance from the Anne and Joseph Trachtman Memorial Book Fund.

ISBN:

1402007833

OCLC:

50417435