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arXiv · 2310.00948

Topological rigidity of quoric manifolds

I. Gkeneralis·S. Prassidis
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Abstract

Quoric manifolds are the quaternionic analogue of toric manifolds. They admit a locally nice action of $(S^3)^n$ and the quotient is a manifold with corners. We show that they satisfy equivariant rigidity. More precisely, any locally linear $(S^3)^n$-manifold that it is equivariantly homotopic equivalent to a quoric manifold is equivariantly homeomorphic to it. The proof is given by generalising the methods of used in Coxeter and toric manifolds.

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BibTeXRIS

I. Gkeneralis, S. Prassidis. 2023-10-02. Topological rigidity of quoric manifolds. https://doi.org/10.4064/cm9611-5-2025

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