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Journal Articles

U(1)n Chern–Simons theory: Partition function, reciprocity formula and Chern–Simons duality

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Han-Miru Kim, Philippe Mathieu, Michail Tagaris, Frank Thuillier
Journal: Journal of Mathematical Physics
J. Math. Phys. 66, 042301 (2025)
https://doi.org/10.1063/5.0239253
Published: April 2025
View articletitled, U(1)n Chern–Simons theory: Partition function, reciprocity formula and Chern–Simons duality
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Journal Articles

The U(1) BF functional measure and the Dirac distribution on the space of quantum fields

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F. Thuillier
Journal: Journal of Mathematical Physics
J. Math. Phys. 64, 113501 (2023)
https://doi.org/10.1063/5.0166948
Published: November 2023
View articletitled, The U(1) BF functional measure and the Dirac distribution on the space of quantum fields
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Journal Articles

L ∞ -algebras of Einstein–Cartan–Palatini gravity

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Marija Dimitrijević Ćirić, Grigorios Giotopoulos, Voja Radovanović, Richard J. Szabo
Journal: Journal of Mathematical Physics
J. Math. Phys. 61, 112502 (2020)
https://doi.org/10.1063/5.0011344
Published: November 2020
View articletitled, L ∞ -algebras of Einstein–Cartan–Palatini gravity
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Journal Articles

3D topological models and Heegaard splitting. II. Pontryagin duality and observables

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F. Thuillier
Journal: Journal of Mathematical Physics
J. Math. Phys. 61, 112302 (2020)
https://doi.org/10.1063/5.0027779
Published: November 2020
View articletitled, 3D topological models and Heegaard splitting. II. Pontryagin duality and observables
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Journal Articles

3D topological models and Heegaard splitting. I. Partition function

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F. Thuillier
Journal: Journal of Mathematical Physics
J. Math. Phys. 60, 043505 (2019)
https://doi.org/10.1063/1.5079618
Published: April 2019
View articletitled, 3D topological models and Heegaard splitting. I. Partition function
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Journal Articles

Geometric Lagrangian approach to the physical degree of freedom count in field theory

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Bogar Díaz, Merced Montesinos
Journal: Journal of Mathematical Physics
J. Math. Phys. 59, 052901 (2018)
https://doi.org/10.1063/1.5008740
Published: May 2018
View articletitled, Geometric Lagrangian approach to the physical degree of freedom count in field theory
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Journal Articles

Abelian Turaev-Virelizier theorem and U(1) BF surgery formulas

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Ph. Mathieu, F. Thuillier
Journal: Journal of Mathematical Physics
J. Math. Phys. 58, 102301 (2017)
https://doi.org/10.1063/1.4986850
Published: October 2017
View articletitled, Abelian Turaev-Virelizier theorem and U(1) BF surgery formulas
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Journal Articles

From 3D topological quantum field theories to 4D models with defects

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Clement Delcamp, Bianca Dittrich
Journal: Journal of Mathematical Physics
J. Math. Phys. 58, 062302 (2017)
https://doi.org/10.1063/1.4989535
Published: June 2017
View articletitled, From 3D topological quantum field theories to 4D models with defects
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Journal Articles

Boosting Wigner’s nj-symbols

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Simone Speziale
Journal: Journal of Mathematical Physics
J. Math. Phys. 58, 032501 (2017)
https://doi.org/10.1063/1.4977752
Published: March 2017
View articletitled, Boosting Wigner’s nj-symbols
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Journal Articles

Abelian BF theory and Turaev-Viro invariant

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P. Mathieu, F. Thuillier
Journal: Journal of Mathematical Physics
J. Math. Phys. 57, 022306 (2016)
https://doi.org/10.1063/1.4942046
Published: February 2016
View articletitled, Abelian BF theory and Turaev-Viro invariant
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Journal Articles

Analog of the Peter-Weyl expansion for Lorentz group

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Leonid Perlov
Journal: Journal of Mathematical Physics
J. Math. Phys. 56, 111703 (2015)
https://doi.org/10.1063/1.4935434
Published: November 2015
View articletitled, Analog of the Peter-Weyl expansion for Lorentz group
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Journal Articles

From simplicial Chern-Simons theory to the shadow invariant II

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Atle Hahn
Journal: Journal of Mathematical Physics
J. Math. Phys. 56, 032302 (2015)
https://doi.org/10.1063/1.4907979
Published: March 2015
View articletitled, From simplicial Chern-Simons theory to the shadow invariant II
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Journal Articles

On 3-gauge transformations, 3-curvatures, and Gray -categories

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Wei Wang
Journal: Journal of Mathematical Physics
J. Math. Phys. 55, 043506 (2014)
https://doi.org/10.1063/1.4870640
Published: April 2014
View articletitled, On 3-gauge transformations, 3-curvatures, and Gray -categories
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Journal Articles

Two-dimensional background field gravity: A Hamilton-Jacobi analysis

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M. C. Bertin, B. M. Pimentel, C. E. Valcárcel
Journal: Journal of Mathematical Physics
J. Math. Phys. 53, 102901 (2012)
https://doi.org/10.1063/1.4748301
Published: September 2012
View articletitled, Two-dimensional background field gravity: A Hamilton-Jacobi analysis
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Journal Articles

A new Hamiltonian for the topological BF phase with spinor networks

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Valentin Bonzom, Etera R. Livine
Journal: Journal of Mathematical Physics
J. Math. Phys. 53, 072201 (2012)
https://doi.org/10.1063/1.4731771
Published: July 2012
View articletitled, A new Hamiltonian for the topological BF phase with spinor networks
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Journal Articles

Quantum deformation of two four-dimensional spin foam models

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Winston J. Fairbairn, Catherine Meusburger
Journal: Journal of Mathematical Physics
J. Math. Phys. 53, 022501 (2012)
https://doi.org/10.1063/1.3675898
Published: February 2012
View articletitled, Quantum deformation of two four-dimensional spin foam models
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Journal Articles

Dynamics of two topologically entangled chains

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F. Ferrari, J. Paturej, M. Pia̧tek, T. A. Vilgis
Journal: Journal of Mathematical Physics
J. Math. Phys. 52, 043301 (2011)
https://doi.org/10.1063/1.3574356
Published: April 2011
View articletitled, Dynamics of two topologically entangled chains
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Journal Articles

Link invariants for flows in higher dimensions

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Hugo García-Compeán, Roberto Santos-Silva
Journal: Journal of Mathematical Physics
J. Math. Phys. 51, 063506 (2010)
https://doi.org/10.1063/1.3427319
Published: June 2010
View articletitled, Link invariants for flows in higher dimensions
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Journal Articles

Invariants from classical field theory

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Rafael Díaz, Lorenzo Leal
Journal: Journal of Mathematical Physics
J. Math. Phys. 49, 062901 (2008)
https://doi.org/10.1063/1.2937075
Published: June 2008
View articletitled, Invariants from classical field theory
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Journal Articles

Topological higher gauge theory: From B F to B F C G theory

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F. Girelli, H. Pfeiffer, E. M. Popescu
Journal: Journal of Mathematical Physics
J. Math. Phys. 49, 032503 (2008)
https://doi.org/10.1063/1.2888764
Published: March 2008
View articletitled, Topological higher gauge theory: From B F to B F C G theory
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