The physical Hilbert space of complex Chern-Simons theory on an m-holed sphere at even level carries a Fenchel-Nielsen representation in which Wilson loops along pants-decomposition cuts act as multiplication operators.
Witten, 2+ 1 dimensional gravity as an exactly soluble system , Nuclear Physics B (1988)
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Hamiltonian quantization of complex Chern-Simons theory at level-$k$
The physical Hilbert space of complex Chern-Simons theory on an m-holed sphere at even level carries a Fenchel-Nielsen representation in which Wilson loops along pants-decomposition cuts act as multiplication operators.