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Geometriae Dedicata

, Volume 203, Issue 1, pp 205–223 | Cite as

The equivariant cohomology ring of a cohomogeneity-one action

  • Jeffrey D. Carlson
  • Oliver Goertsches
  • Chen He
  • Augustin-Liviu MareEmail author
Original Paper
  • 49 Downloads

Abstract

We compute the rational Borel equivariant cohomology ring of a cohomogeneity-one action of a compact Lie group.

Keywords

Lie groups Cohomogeneity-one Lie group actions on topological manifolds Equivariant cohomology 

Notes

Acknowledgements

The authors would like to thank the referee for careful proofreading, for suggesting a reference, and for making an important correction to their statement of Theorem 3.2. The first author would like to thank Omar Antolín Camarena for helpful conversations and the National Center for Theoretical Sciences (Taiwan) for its hospitality during a phase of this work.

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Copyright information

© Springer Nature B.V. 2019

Authors and Affiliations

  • Jeffrey D. Carlson
    • 1
  • Oliver Goertsches
    • 2
  • Chen He
    • 3
  • Augustin-Liviu Mare
    • 4
    Email author
  1. 1.Department of MathematicsUniversity of TorontoTorontoCanada
  2. 2.Fachbereich Mathematik und InformatikPhilipps-Universität MarburgMarburgGermany
  3. 3.Yau Mathematical Sciences CenterTsinghua UniversityBeijingChina
  4. 4.Department of Mathematics and StatisticsUniversity of ReginaReginaCanada

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