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Topological representations of the quantum groupU q(sl 2)

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Abstract

We define a topological action of the quantum groupU q(sl 2) on a space of homology cycles with twisted coefficients on the configuration space of the punctured disc. This action commutes with the monodromy action of the braid groupoid, which is given by theR-matrix ofU q(sl 2).

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Communicated by K. Gawedzki

Currently visiting the Institute for Theoretical Physics, University of California, Santa Barbara, CA 93106, USA. Supported in part by the NSF under Grant No. PHY89-04035, supplemented by funds from the NASA

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Felder, G., Wieczerkowski, C. Topological representations of the quantum groupU q(sl 2). Commun.Math. Phys. 138, 583–605 (1991). https://doi.org/10.1007/BF02102043

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