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
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Call Number: urn:nbn:de:hebis:04-z2018-04969
Publication Date: 2018-10-22
Date of Acceptance: 2018-09-26
Downloads: 5 (2024), 62 (2023), 37 (2022), 51 (2021), 22 (2020), 19 (2019), 14 (2018)
License: https://rightsstatements.org/vocab/InC-NC/1.0/
Access URL: https://archiv.ub.uni-marburg.de/diss/z2018/0496
https://doi.org/10.17192/z2018.0496