#### Volume 13, issue 1 (2013)

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Dirac operators and symmetries of quasitoric manifolds

### Michael Wiemeler

Algebraic & Geometric Topology 13 (2013) 277–312
##### Abstract

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

##### Keywords
twisted Dirac operators, Spin^c-manifolds, quasitoric manifolds, degree of symmetry
##### Mathematical Subject Classification 2010
Primary: 57S15, 57S25, 58J20