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.
| Author: | Manuel AmannGND, Andreas Kollross |
|---|---|
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/83632 |
| URL: | https://arxiv.org/abs/2002.07645 |
| Parent Title (English): | arXiv |
| Type: | Preprint |
| Language: | English |
| Year of first Publication: | 2020 |
| Release Date: | 2021/02/21 |
| Issue: | arXiv:2002.07645 |
| Institutes: | Mathematisch-Naturwissenschaftlich-Technische Fakultät |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik | |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehrstuhl für Differentialgeometrie |
