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
Publication
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