Non-abelian symmetries of quasitoric manifolds

preprint2014arXivOpen access

Abstract

A quasitoric manifold MM is a 2n2n-dimensional manifold which admits an action of an nn-dimensional torus which has some nice properties. We determine the isomorphism type of a maximal compact connected Lie-subgroup GG of Homeo(M)\text{Homeo}(M) which contains the torus. Moreover, we show that this group is unique up to conjugation.

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