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Equivariantly homeomorphic quasitoric manifolds are diffeomorphic

Dedicated to the memory of Samuel Gitler

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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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Authors and Affiliations

  1. Institut für Mathematik, Universität Augsburg, 86135, Augsburg, Germany

    Michael Wiemeler

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  1. Michael Wiemeler
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Correspondence to Michael Wiemeler.

Additional information

The research for this paper was partially supported by DFG grant HA 3160/6-1.

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Wiemeler, M. Equivariantly homeomorphic quasitoric manifolds are diffeomorphic. Bol. Soc. Mat. Mex. 23, 501–509 (2017). https://doi.org/10.1007/s40590-016-0091-0

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  • DOI: https://doi.org/10.1007/s40590-016-0091-0

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