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arXiv · 2212.12872

An extension of the $\mathrm{U}\!\left(1\right)$ BF theory, Turaev-Viro invariant and Drinfeld center construction. Part I: Quantum fields, quantum currents and Pontryagin duality

Emil Høssjer·Philippe Mathieu·Frank Thuillier
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Abstract

In this first of a series of articles dedicated to natural extensions of the U(1) BF theory, abelian Turaev-Viro (TV) construction and corresponding Drinfeld center construction for any closed oriented smooth manifolds, we present the mathematical background that will be used.

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Emil Høssjer, Philippe Mathieu, Frank Thuillier. 2022-12-25. An extension of the $\mathrm{U}\!\left(1\right)$ BF theory, Turaev-Viro invariant and Drinfeld center construction. Part I: Quantum fields, quantum currents and Pontryagin duality. https://arxiv.org/abs/2212.12872

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