Dirac operators and symmetries of quasitoric manifolds

Wiemeler, Michael¹

¹Karlsruher Institut für Technologie, Institut für Algebra und Geometrie, Kaiserstrasse 89–93, D-76133 Karlsruhe, Germany

Algebraic and Geometric Topology, Tome 13 (2013) no. 1, pp. 277-312

Résumé

We establish a vanishing result for indices of certain twisted Dirac operators on Spinc–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.

Détail

DOI : 10.2140/agt.2013.13.277

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

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