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arXiv · 1301.0469

Topological rigidity of quasitoric manifolds

V. Metaftsis·S. Prassidis
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Abstract

Quasitoric manifolds are manifolds that admit an action of the torus that is locally as the standard action of T^n on C^n. It is known that the quotients of such actions are nice manifolds with corners. We prove that such manifolds are equivariantly rigid i.e., that any other manifold that is T^n-homotopy equivalent to a quasitoric manifold, is T^n-homeomorphic to it.

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V. Metaftsis, S. Prassidis. 2013-01-03. Topological rigidity of quasitoric manifolds. https://arxiv.org/abs/1301.0469

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