Zobrazeno 1 - 10
of 38
pro vyhledávání: '"Thuillier, Frank"'
Autor:
Thuillier, Frank
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 $\mathbb{Z}$-module of quantum fields. Then, we revisit the U(1) BF partition function with the help of this Dirac distr
Externí odkaz:
http://arxiv.org/abs/2306.04259
We explain how it is possible to study $\mathrm{U}\!\left(1\right)$ BF theory over a connected closed oriented smooth $3$-manifold in the formalism of path integral thanks to Deligne-Beilinson cohomology. We show how we can straightforwardly extend t
Externí odkaz:
http://arxiv.org/abs/2302.09191
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 ba
Externí odkaz:
http://arxiv.org/abs/2212.12872
We consider topological gauge theories in three dimensions which are defined by metric independent lagrangians. It has been claimed that the functional integration necessarily depends nontrivially on the gauge-fixing metric. We demonstrate that the p
Externí odkaz:
http://arxiv.org/abs/2205.03875
Autor:
Thuillier, Frank
In a previous article, a construction of the smooth Deligne-Beilinson cohomology groups $H^p_D(M)$ on a closed $3$-manifold $M$ represented by a Heegaard splitting $X_L \cup_f X_R$ was presented. Then, a determination of the partition functions of th
Externí odkaz:
http://arxiv.org/abs/2008.04777
Autor:
Thuillier, Frank
The aim of this article is twofold: firstly, we show how to recover the smooth Deligne-Beilinson cohomology groups from a Heegaard splitting of a closed oriented smooth 3-manifold by extending the usual \tch-de Rham construction; secondly, thanks to
Externí odkaz:
http://arxiv.org/abs/1810.13280
Publikováno v:
Mod. Phys. Lett. A, Vol. 33, No. 2 (2018) 1850012
In this article we investigate an interpolating gauge fixing procedure in $(4l+3)$-dimensional abelian Chern-Simons theory. We show that this interpolating gauge is related to the covariant gauge in a constant anisotropic metric. We compute the corre
Externí odkaz:
http://arxiv.org/abs/1711.05638
A general method for the construction of smooth flat connections on 3-manifolds is introduced. The procedure is strictly connected with the deduction of the fundamental group of a manifold M by means of a Heegaard splitting presentation of M. For any
Externí odkaz:
http://arxiv.org/abs/1710.09629
Autor:
Thuillier, Frank
Nous présentons dans ce travail deux exemples de modèles topologiques faisant appel à la cohomologie : - dans le premier exemple nous montrons comment obtenir des invariants topologiques, tels que ceux de Donaldson, de Mumford, de Mathaï-Quillen
Externí odkaz:
http://tel.archives-ouvertes.fr/tel-00749523
http://tel.archives-ouvertes.fr/docs/00/74/95/23/PDF/Version_du_16102012.pdf
http://tel.archives-ouvertes.fr/docs/00/74/95/23/PDF/Version_du_16102012.pdf
Publikováno v:
Mod. Phys. Lett. A, Vol. 30, No. 20 (2015) 1550102
We revisit the implementation of the metric-independent Fock-Schwinger gauge in the abelian Chern-Simons field theory defined in ${\mathbb{R}}^3$ by means of a homotopy condition. This leads to the lagrangian $F \wedge hF$ in terms of curvatures $F$
Externí odkaz:
http://arxiv.org/abs/1402.6941