On quantization of Chern-Simons theory in terms of Weyl quantization and skein relations:
Răzvan Gelca, Alejandro Uribe: The Weyl quantization and the quantum group quantization of the moduli space of flat -connections on the torus are the same, Commun. Math. Phys. 233 (2003) 493-512 [arXiv:math-ph/0201059]
Răzvan Gelca, Alejandro Uribe: Quantum mechanics and non-abelian theta functions for the gauge group [arXiv:1007.2010]
On the integer Heisenberg group describing the phase space of abelian Chern-Simons theory on closed Riemann surfaces (and its relation to skein relations and Riemann's theta functions):
Răzvan Gelca, Alejandro Uribe: From classical theta functions to topological quantum field theory, in: The Influence of Solomon Lefschetz in Geometry and Topology: 50 Years of Mathematics at CINVESTAV, Contemporary Mathematics 621, AMS (2014) 35-68 [arXiv:1006.3252, doi;10.1090/conm/621, ams:conm-621, slides pdf, pdf]
Răzvan Gelca, Alastair Hamilton: Classical theta functions from a quantum group perspective, New York J. Math. 21 (2015) 93–127 [arXiv:1209.1135, nyjm:j/2015/21-4]
Răzvan Gelca, Alastair Hamilton: The topological quantum field theory of Riemann’s theta functions, Journal of Geometry and Physics 98 (2015) 242-261 [doi:10.1016/j.geomphys.2015.08.008, arXiv:1406.4269]
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