Topological rigidity of quasitoric manifolds

  • Vassilis Metaftsis
  • Stratos Prassidis

Abstract

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

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Published
2018-04-08
How to Cite
Metaftsis, V., & Prassidis, S. (2018). Topological rigidity of quasitoric manifolds. MATHEMATICA SCANDINAVICA, 122(2), 179-196. https://doi.org/10.7146/math.scand.a-97303
Section
Articles