Equivariantly homeomorphic quasitoric manifolds are diffeomorphic

Abstract

In this note we prove that equivariantly homeomorphic quasitoric manifolds are diffeomorphic. As a consequence we show that up to finite ambiguity the diffeomorphism type of certain quasitoric manifolds $M$ is determined by their cohomology rings and first Pontrjagin classes.

7 pages; presentation improved, details added; to appear in the memorial volume for Sam Gitler of the Bol. Soc. Mat. Mex

References in corpus (1)

• Invariance of Pontrjagin classes for Bott manifolds

Cited by in corpus (1)

• A note on torus actions and the Witten genus