Basic equivariant gerbes on non-simply connected compact simple Lie groups
arXiv:1712.08294 · doi:10.1016/j.geomphys.2018.06.016
Abstract
This paper computes the obstruction to the existence of equivariant extensions of basic gerbes over non-simply connected compact simple Lie groups. By modifying a (finite dimensional) construction of Gawȩdzki-Reis [J. Geom. Phys. 50(1):28-55, 2004], we exhibit basic equivariant bundle gerbes over non-simply connected compact simple Lie groups.
16 pages, Comments welcome!