Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1609-47
Keywords
Equivariant cohomology, fixed point, compact groups
First Page
1556
Last Page
1565
Recommended Citation
ÖZKURT, A. A, & ONAT, M (2018). The localization theorem for finite-dimensional compact group actions. Turkish Journal of Mathematics 42 (4): 1556-1565. https://doi.org/10.3906/mat-1609-47
