Topological Representations of $U_q(sl_2)$ on the Torus and the Mapping Class Group

Details Topological Representations of $U_q(sl_2)$ on the Torus and the Mapping Class Group Topological Representations of $U_q(sl_2)$ on the Torus and the Mapping Class Group

1993-07-30

arxiv.org/abs/hep-th/9307188v1

Lett.Math.Phys.30:71-85,1993

Physics

High Energy Physics

High Energy Physics - Theory

15 pages

Scientific paper

10.1007/BF00761424

We compute the mapping class group action on cycles on the configuration
space of the torus with one puncture, with coefficients in a local system
arising in conformal field theory. This action commutes with the topological
action of the quantum group $U_q(sl_2)$, and is given in vertex form.

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