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.
Ausstattung/Bilder: Softcover reprint of the original 1st ed. 2002. 2012. 264 S.
Seitenzahl: 268
K-Monographs in Mathematics .7
Best.Nr. des Verlages: 80105457
Englisch
Abmessung: 240mm x 160mm x 14mm
Gewicht: 432g
ISBN-13: 9789401064910
ISBN-10: 9401064911
Best.Nr.: 36113576
Masaharu Morimoto begann seine Kochkarriere in Hiroshima mit einer achtjährigen Ausbildung in einem Sushirestaurant. Schon mit 24 Jahren eröffnete er sein erstes eigenes Restaurant. Mit seinem innovativen Mix aus japanischer Tradition, westlichen Kochtechniken und europäischen Zutaten erwarb er sich bald den Ruf als Erneuerer der japanischen Küche. Nach fünf Jahren verließ Morimoto Japan und machte sich daran, die USA zu erobern - was ihm eindrucksvoll gelang: Heute besitzt er mehrere Restaurants in New York, Philadelphia und Tokio sowie eine eigene Sake und Bierbrauerei.
Inhaltsangabe
Introduction. 1. Hilbert's fifth problem and proper actions of Lie groups; S. Illman. 2. Equivariant algebraic vector bundles over representations - a survey; M. Masuda. 3. G-manifolds and G-vector bundles in algebraic, semialgebraic, and definable categories; T. Kawakami. 4. Geometry of Finite Topological and equivariant finite topological spaces; S. Kono, F. Ushitaki. 5. On the theory of homotopy representations. A survey; I. Nagasaki. 6. Manifolds as fixed point sets of smooth compact Lie group actions; K. Pawalowski. 7. Surgery and homotopy theory in study of the transformation groups; Y. Kitada. 8. Kervaire's obstructions of free actions of finite cyclic groups on homotopy spheres; Y. Kitada. 9. The Burnside ring revisited; M. Morimoto. 10. Multiplicative stabilization and transformation groups; S. Kwasik, R. Schultz. 11. Symmetries on manifolds, deformations and rational homotopy: a survey; M. Raussen. 12. Rigidity of codimension one locally free actions of solvable Lie groups; N. Tsuchiya, A. Yamakawa. 13. Smooth actions of non-compact semi-simple Lie groups; F. Uchida, K. Mukoyama. 14. Hamiltonian group actions and equivariant indices; T. Takakura. 15. Controlled methods in equivariant topology, a survey; E. Pedersen. Index.
