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Mathematics > Differential Geometry

arXiv:1812.09511 (math)
[Submitted on 22 Dec 2018 (v1), last revised 28 Mar 2019 (this version, v2)]

Title:Equivariant de Rham Cohomology: Theory and Applications

Authors:Oliver Goertsches, Leopold Zoller
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Abstract:This is a survey on the equivariant cohomology of Lie group actions on manifolds, from the point of view of de Rham theory. Emphasis is put on the notion of equivariant formality, as well as on applications to ordinary cohomology and to fixed points.
Comments: 40 pages. Final version, to appear in Sao Paulo J. Math. Sci
Subjects: Differential Geometry (math.DG); Algebraic Topology (math.AT)
Cite as: arXiv:1812.09511 [math.DG]
  (or arXiv:1812.09511v2 [math.DG] for this version)
  https://doi.org/10.48550/arXiv.1812.09511

Submission history

From: Oliver Goertsches [view email]
[v1] Sat, 22 Dec 2018 11:30:29 UTC (63 KB)
[v2] Thu, 28 Mar 2019 14:05:58 UTC (63 KB)
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