- Turkish Journal of Mathematics
- Vol: 42 Issue: 4
- The localization theorem for finite-dimensional compact group actions
The localization theorem for finite-dimensional compact group actions
Authors : Ali Arslan Özkurt, Mehmet Onat
Pages : 1556-1565
View : 8 | Download : 5
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :The localization theorem is known for compact $G$-spaces, where $G$ is a compact Lie group. In this study, we show that the localization theorem remains true for finite-dimensional compact group actions, and Borel's fixed point theorem holds not only for torus actions but for arbitrary finite-dimensional compact connected abelian group actions.Keywords : Equivariant cohomology, fixed point, compact groups