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Chern-Simons field theory and quantum groups. (English) Zbl 0722.57003
Quantum groups, Proc. 8th Int. Workshop Math. Phys., Clausthal/Germ. 1989, Lect. Notes Phys. 370, 307-317 (1990).
Summary: [For the entire collection see Zbl 0713.00024.]
We study the Gauss constraint of the Chern-Simons theory in presence of sources. We solve this constraint in terms of a matrix-valued gauge connection. The associated holonomies define a representation of the braid group, which commutes with the action of a quantum group.

57M25 Knots and links in the \(3\)-sphere (MSC2010)
81R50 Quantum groups and related algebraic methods applied to problems in quantum theory
20F36 Braid groups; Artin groups
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