Equivariant formality of the isotropy action on ℤ2⊕ℤ2-symmetric spaces

  • Compact symmetric spaces are probably one of the most prominent class of formal spaces, i.e. of spaces where the rational homotopy type is a formal consequence of the rational cohomology algebra. As a generalisation, it is even known that their isotropy action is equivariantly formal. In this article we show that (ℤ2⊕ℤ2)-symmetric spaces are equivariantly formal and formal in the sense of Sullivan, in particular. Moreover, we give a short alternative proof of equivariant formality in the case of symmetric spaces with our new approach.

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Author:Manuel AmannGND, Andreas Kollross
Frontdoor URLhttps://opus.bibliothek.uni-augsburg.de/opus4/83632
Parent Title (English):arXiv
Year of first Publication:2020
Release Date:2021/02/21
Institutes:Mathematisch-Naturwissenschaftlich-Technische Fakultät
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehrstuhl für Differentialgeometrie