The basic gerbe over a compact simple Lie group
Differential Geometry
2011-11-10 v3 Symplectic Geometry
Abstract
Let be a compact, simply connected simple Lie group. We give a construction of an equivariant gerbe with connection on , with equivariant 3-curvature representing a generator of . Technical tools developed in this context include a gluing construction for gerbes and a theory of equivariant bundle gerbes.
Cite
@article{arxiv.math/0209194,
title = {The basic gerbe over a compact simple Lie group},
author = {Eckhard Meinrenken},
journal= {arXiv preprint arXiv:math/0209194},
year = {2011}
}
Comments
19 pages. To appear in L'Enseignement Mathematique