Dirac-operators and symmetries of quasitoric manifolds

Details Dirac-operators and symmetries of quasitoric manifolds Dirac-operators and symmetries of quasitoric manifolds

2011-08-04

arxiv.org/abs/1108.1056v1

Mathematics

Geometric Topology

21 pages

Scientific paper

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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