Topological rigidity of quasitoric manifolds

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.

15 pages. Major revision, comments welcome

References in corpus (2)

• Finite extinction time for the solutions to the Ricci flow on certain three-manifolds
• Exotic torus manifolds and equivariant smooth structures on quasitoric manifolds