The localization theorem for finite-dimensional compact group actions

Authors

ALİ ARSLAN ÖZKURT
MEHMET ONAT

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, ALİ ARSLAN and ONAT, MEHMET (2018) "The localization theorem for finite-dimensional compact group actions," Turkish Journal of Mathematics: Vol. 42: No. 4, Article 2. https://doi.org/10.3906/mat-1609-47
Available at: https://journals.tubitak.gov.tr/math/vol42/iss4/2