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Combinatorial quantization of the Hamiltonian Chern-Simons theory I

A. Yu. Alekseev·H. Grosse·V. Schomerus
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Abstract

Motivated by a recent paper of Fock and Rosly \cite{FoRo} we describe a mathematically precise quantization of the Hamiltonian Chern-Simons theory. We introduce the Chern-Simons theory on the lattice which is expected to reproduce the results of the continuous theory exactly. The lattice model enjoys the symmetry with respect to a quantum gauge group. Using this fact we construct the algebra of observables of the Hamiltonian Chern-Simons theory equipped with a *-operation and a positive inner product.

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A. Yu. Alekseev, H. Grosse, V. Schomerus. 1994-06-23. Combinatorial quantization of the Hamiltonian Chern-Simons theory I. https://doi.org/10.1007/bf02099431

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