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arXiv · 1108.1056

Dirac-operators and symmetries of quasitoric manifolds

Michael Wiemeler
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Abstract

We establish a vanishing result for indices of certain twisted Dirac operators on $\text{Spin}^c$-manifolds with non-abelian Lie-group actions. We apply this result to study non-abelian symmetries of quasitoric manifolds. We give upper bounds for the degree of symmetry of these manifolds.

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Michael Wiemeler. 2012-09-12. Dirac-operators and symmetries of quasitoric manifolds. https://doi.org/10.2140/agt.2013.13.277

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