Maximal Antipodal Sets and the Topology of Generalised Symmetric Spaces

Manuel Amann

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arXiv · 2101.01587

Maximal Antipodal Sets and the Topology of Generalised Symmetric Spaces

Manuel Amann

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Abstract

We prove several long-standing conjectures by Chen--Nagano on cohomological descriptions of the cardinalities of maximal antipodal sets in symmetric spaces. We actually extend these conjectures to the setting of generalised symmetric spaces of finite abelian $p$-groups and verify them mostly in this broader context drawing upon techniques from equivariant cohomology theory.

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Manuel Amann. 2021-01-05. Maximal Antipodal Sets and the Topology of Generalised Symmetric Spaces. https://arxiv.org/abs/2101.01587

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