Dirac-operators and symmetries of quasitoric manifolds
classification
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manifoldsnon-abelianquasitoricresultsymmetriesactionsapplybounds
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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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