Equivariantly homeomorphic quasitoric manifolds are diffeomorphic
classification
🧮 math.GT
keywords
manifoldsquasitoricdiffeomorphicequivariantlyhomeomorphicambiguitycertainclasses
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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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