Dirac-operators and symmetries of quasitoric manifolds

Abstract

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.

arXiv comment24 pages; some results are generalized; Section 4 rewritten completely; accepted for publication in Algebr. Geom. Topol

References in corpus (1)

• Torus manifolds with non-abelian symmetries

Cited by in corpus (3)

• Complete Intersections with S^1-action
• A note on torus actions and the Witten genus
• Witten genera of complete intersections