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Braid group rerresentations arising from the affine Grassmannian and factorization spaces
by
Kenji Aragane
Osaka City University
There are well known constructions of representations of braid groups by flat fibre bundles on configuration spaces. In this construction, flat structures are essential. We begin by constructing fibrations with flat structures on the projective space, which are related to the categorification of knot invariants, and we explain the relationship between our fibrations and factorization spaces, introduced by Beilinson and Drinfeld as a nonlinear version of vertex algebras.
Our construction of representations are geometric and closely related to the geometric Langlands correspondence.
Date received: December 1, 2008
Copyright © 2008 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # caxq-51.