The basic gerbe over a compact simple Lie group

2002/09/30 by Eckhard Meinrenken · 1 citation
Mathematics · #math.DG #math.SG

paper · pdf

published as Enseign. Math. (2) 49 (2003), no. 3-4, 307--333. · 19 pages. To appear in L'Enseignement Mathematique

arxiv created 2003/07/14 · arxiv updated 2011/11/10

Abstract

Let G be a compact, simply connected simple Lie group. We give a construction of an equivariant gerbe with connection on G, with equivariant 3-curvature representing a generator of H³_G(G,\Z). Technical tools developed in this context include a gluing construction for gerbes and a theory of equivariant bundle gerbes.

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