Finite quadratic modules classify extended Abelian Chern-Simons theories, pointed Abelian Reshetikhin-Turaev TQFTs, and pointed modular tensor categories.
A rigorous functional–integral construction of toral Chern–Simons theory
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Toral Chern-Simons theory with gauge group U(1)^n is naturally isomorphic to the Reshetikhin-Turaev theory from the associated finite quadratic module.
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Classification of Extended Abelian Chern-Simons Theories
Finite quadratic modules classify extended Abelian Chern-Simons theories, pointed Abelian Reshetikhin-Turaev TQFTs, and pointed modular tensor categories.
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Equivalence of toral Chern-Simons and Reshetikhin-Turaev theories
Toral Chern-Simons theory with gauge group U(1)^n is naturally isomorphic to the Reshetikhin-Turaev theory from the associated finite quadratic module.