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Equivariant cohomology of cohomogeneity-one actions: The topological case.
- Source :
-
Topology & Its Applications . Mar2017, Vol. 218, p93-96. 4p. - Publication Year :
- 2017
-
Abstract
- We show that for any cohomogeneity-one continuous action of a compact connected Lie group G on a closed topological manifold the equivariant cohomology equipped with its canonical H ⁎ ( B G ) -module structure is Cohen–Macaulay. The proof relies on the structure theorem for these actions recently obtained by Galaz-García and Zarei. We generalize in this way our previous result concerning smooth actions. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01668641
- Volume :
- 218
- Database :
- Academic Search Index
- Journal :
- Topology & Its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 120833717
- Full Text :
- https://doi.org/10.1016/j.topol.2016.12.017