Remarks on the classification of quasitoric manifolds up to equivariant homeomorphism

Abstract

We give three sufficient criteria for two quasitoric manifolds (M,M') to be (weakly) equivariantly homeomorphic. We apply these criteria to count the weakly equivariant homeomorphism types of quasitoric manifolds with a given cohomology ring.

11 pages

References in corpus (3)

• The topology of toric symplectic manifolds
• GKM theory for torus actions with non-isolated fixed points
• $\mathbb{Q}$-trivial generalized Bott manifolds

Cited by in corpus (4)

• Exotic torus manifolds and equivariant smooth structures on quasitoric manifolds
• Torus manifolds and non-negative curvature
• A note on torus actions and the Witten genus
• Equivariantly homeomorphic quasitoric manifolds are diffeomorphic