28 citations · 119 across the 20 of their papers we have counts for
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Observables in Chern-Simons theory
Michail Tagaris, Frank Thuillier
In this article, we will compute the expectation value of observables (which appear as Wilson loops) in Chern-Simons theory for closed oriented -manifolds. We…
Chern-Simons theory: partition function, reciprocity formula and Chern-Simons duality
Han-Miru Kim, Philippe Mathieu, Michail Tagaris +1
The Chern-Simons theory can be extended to a topological theory by taking a combination of Chern-Simons and BF actions, the mixing being achieved…
The U(1) BF functional measure and the Dirac distribution on the space of quantum fields
Frank Thuillier
In this letter, we explain how the U(1) BF measure can be related to the Fourier transform of a Dirac distribution defined on the -module of quantum fields. Then, we re…
Generalized Abelian Turaev-Viro and BF Theories
Emil Høssjer, Philippe Mathieu, Frank Thuillier
We explain how it is possible to study BF theory over a connected closed oriented smooth -manifold in the formalism of path integral thanks to Delig…
An extension of the BF theory, Turaev-Viro invariant and Drinfeld center construction. Part I: Quantum fields, quantum currents and Pontryagin duality
Emil Høssjer, Philippe Mathieu, Frank Thuillier
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 fo…
3D Topological Models and Heegaard Splitting II: Pontryagin duality and Observables
Frank Thuillier
In a previous article, a construction of the smooth Deligne-Beilinson cohomology groups on a closed -manifold represented by a Heegaard splitting …