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: Dissertation
Published: Philipps-Universität Marburg 2018
Reine und Angewandte Mathematik
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Call Number: urn:nbn:de:hebis:04-z2018-04969
Downloads: 9 (2020), 19 (2019), 14 (2018)
Publication Date: 2018-10-22
License: According to UrhG § 31 (2), the author has granted the University Library Marburg the right of use for electronic publication on the Internet and for archiving on its archive server. He has declared that with the granting of the right of use according to UrhG § 31 (3) no exclusive rights of third parties are violated. All other rights for the exploitation of the publication remain with the author. https://rightsstatements.org/vocab/InC-NC/1.0/
Access URL: https://archiv.ub.uni-marburg.de/diss/z2018/0496