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Abstract: In this paper, we construct the index bundle gerbe of a family of self-adjoint Dirac-type operators, refining a construction of Segal. In a special case, we construct a geometric bundle gerb...
Equivariant holonomy for bundles and abelian gerbes
Equivariant Chern character Abelian gerbe Holonomy Higher Hochschild complex
2011/7/27
Abstract: This paper generalizes Bismut's equivariant Chern character to the setting of abelian gerbes. In particular, associated to an abelian gerbe with connection, an equivariantly closed different...
Twisted geometric Satake equivalence via gerbes on the factorizable grassmannian
Twisted geometric Satake equivalence gerbes factorizable grassmannian
2011/2/28
The geometric Satake equivalence of Ginzburg and Mirkovic{ Vilonen, for a complex reductive group G, is a realization of the tensor category of representations of its Langlands dual group LG as a cat...