Non-abelian symmetries of quasitoric manifolds

Michael Wiemeler

doi:10.17879/58269753215

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arXiv · 1202.3581

Non-abelian symmetries of quasitoric manifolds

Michael Wiemeler

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Abstract

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

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Michael Wiemeler. 2014-03-26. Non-abelian symmetries of quasitoric manifolds. https://doi.org/10.17879/58269753215

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