The localization theorem for finite-dimensional compact group actions

Authors

ALİ ARSLAN ÖZKURT
MEHMET ONAT

DOI

10.3906/mat-1609-47

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

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