On the equivariant cohomology of isotropy actions

Let G be a compact connected Lie group and K \subseteq G a closed subgroup. We show that the isotropy action of K on G/K is equivariantly formal and that the space G/K is formal in the sense of rational homotopy theory whenever K is the identity component of the intersection of the fixed point sets...

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Bibliographic Details

Main Author:	Hagh Shenas Noshari, Sam
Contributors:	Goertsches, Oliver (Prof. Dr.) (Thesis advisor)
Format:	Doctoral Thesis
Language:	English
Published:	Philipps-Universität Marburg 2018
Subjects:	Äquivariante Kohomologietheorie Lie algebra Differentialgeometrie Mathematik Lie-Gruppe equivariant cohomology differential geometry Symmetric space cohomology Symmetrischer Raum Lie-Algebra Kohomologie Lie group Mathematics
Online Access:	PDF Full Text
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