Dirac operators and symmetries of quasitoric manifolds

Wiemeler, Michael

doi:10.2140/agt.2013.13.277

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Dirac operators and symmetries of quasitoric manifolds

Michael Wiemeler

Algebraic & Geometric Topology 13 (2013) 277–312

DOI: 10.2140/agt.2013.13.277

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

References

Publication

Received: 18 August 2011

Revised: 22 March 2012

Accepted: 11 September 2012

Published: 16 February 2013

Authors

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

Volume 13, issue 1 (2013)