Dirac-operators and symmetries of quasitoric manifolds
Geometric Topology
2014-10-01 v2 Algebraic Topology
Abstract
We establish a vanishing result for indices of certain twisted Dirac operators on -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.
Keywords
Cite
@article{arxiv.1108.1056,
title = {Dirac-operators and symmetries of quasitoric manifolds},
author = {Michael Wiemeler},
journal= {arXiv preprint arXiv:1108.1056},
year = {2014}
}
Comments
24 pages; some results are generalized; Section 4 rewritten completely; accepted for publication in Algebr. Geom. Topol