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arxiv: hep-th/9307188 · v1 · submitted 1993-07-30 · ✦ hep-th · math.QA

Topological Representations of U_q(sl₂) on the Torus and the Mapping Class Group

classification ✦ hep-th math.QA
keywords actiongroupclassmappingtopologicaltorusarisingcoefficients
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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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