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Equivariantly homeomorphic quasitoric manifolds are diffeomorphic

Published 26 Jun 2015 in math.GT | (1506.07999v2)

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.

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