Zobrazeno 1 - 10 of 25 pro vyhledávání: '"Antonin, Guilloux"'
1
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Tetrahedra of flags, volume and homology of SL(3)
Autor: Bergeron, Nicolas, Falbel, Elisha, Antonin, Antonin Guilloux
Publikováno v: Geom. Topol. 18 (2014) 1911-1971
In the paper we define a "volume" for simplicial complexes of flag tetrahedra. This generalizes and unifies the classical volume of hyperbolic manifolds and the volume of CR tetrahedra complexes. We describe when this volume belongs to the Bloch grou
Externí odkaz: http://arxiv.org/abs/1101.2742
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2
Deformation Spaces of Discrete Groups of SU(2,1) in Quaternionic Hyperbolic Plane: A Case Study
Autor: Inkang Kim, Antonin Guilloux
Publikováno v: Experimental Mathematics
Experimental Mathematics, 2021, Volume 30 (4), pp.453-458. ⟨10.1080/10586458.2018.1559776⟩
International audience; In this note, we study deformations of discrete and Zariski dense subgroups of SU(2, 1) in quaternionic hyperbolic space. Specifi- cally we consider two examples coming from representations of 3-manifold groups (the figure eig
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a09ef9364f4fe117c8049fcc0290255e
https://doi.org/10.1080/10586458.2018.1559776
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3
Geometric structures and configurations of flags in orbits of real forms
Autor: Antonin Guilloux, Qingxue Wang, Elisha Falbel
Publikováno v: São Paulo Journal of Mathematical Sciences
São Paulo Journal of Mathematical Sciences, 2021, 15 (1), pp.175-213. ⟨10.1007/s40863-020-00175-3⟩
São Paulo Journal of Mathematical Sciences, Springer, 2021, 15 (1), pp.175-213. ⟨10.1007/s40863-020-00175-3⟩
This is an introduction and a survey on geometric structures modelled on closed orbits of real forms acting on spaces of flags. We focus on 3-manifolds and the flag space of all pairs of a point and a line containing it in $${\mathbb{P}}({\mathbb{C}}
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3b0468884ae5a405a3f98813d3784429
https://hal.sorbonne-universite.fr/hal-03377097/document
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4
Volume function and Mahler measure of exact polynomials
Autor: Julien Marché, Antonin Guilloux
Publikováno v: Compositio Mathematica
Compositio Mathematica, Foundation Compositio Mathematica, 2021, 157 (4), pp.809-834. ⟨10.1112/S0010437X21007016⟩
Compositio Mathematica, 2021, 157 (4), pp.809-834. ⟨10.1112/S0010437X21007016⟩
We study a class of two-variable polynomials called exact polynomials which contains $A$ -polynomials of knot complements. The Mahler measure of these polynomials can be computed in terms of a volume function defined on the vanishing set of the polyn
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::49bc4fcd8f24b4052d4335f2a35bb288
https://hal.sorbonne-universite.fr/hal-03377099
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5
Akademický článek
A method to predict edge strands in beta-sheets from protein sequences
Autor: Antonin Guilloux, Bernard Caudron, Jean-Luc Jestin
Publikováno v: Computational and Structural Biotechnology Journal, Vol 7, Iss 9, p e201305001 (2013)
There is a need for rules allowing three-dimensional structure information to be derived from protein sequences. In this work, consideration of an elementary protein folding step allows protein sub-sequences which optimize folding to be derived for a
Externí odkaz: https://doaj.org/article/b4407ef5f32a456db26d66e9529609be
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6
Hilbert Geometry Without Convexity
Autor: Antonin Guilloux, E. Falbel, Pierre Will
Publikováno v: The Journal of Geometric Analysis
The Journal of Geometric Analysis, Springer, 2020, 30 (3), pp.2865-2896. ⟨10.1007/s12220-020-00426-x⟩
The Hilbert metric on convex subsets of $${\mathbb {R}}^n$$ has proven a rich notion and has been extensively studied. We propose here a generalization of this metric to subsets of complex projective spaces (see also L. Dubois in J Lond Math Soc (2)
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7efa0650d4bee61f3739d4086fa63115
https://hal.sorbonne-universite.fr/hal-03377100
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7
On SL(3, $${\varvec{\mathbb {C}}}$$ C )-representations of the Whitehead link group
Autor: Antonin Guilloux, Pierre Will
Publikováno v: Geometriae Dedicata. 202:81-101
We describe a family of representations in SL(3,C) of the fundamental group π of the Whitehead link complement. These representations are obtained by considering pairs of regular order three elements in SL(3,C) and can be seen as factorising through
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::177db563e7bf7ddbe9a6274dfb5a06c1
https://doi.org/10.1007/s10711-018-0404-8
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8
Mussolini et les mots de la race
Autor: Élise Varcin, Stéphanie Lanfranchi, Antonin Guilloux
Publikováno v: La pensée de la race en Italie : du romantisme au fascisme
Aramini, Aurélien; Bovo, Elena. La pensée de la race en Italie : du romantisme au fascisme, Presses universitaires de Franche-Comté, pp.169-184, 2018, Cahiers de la MSHE Ledoux. Archives de l’imaginaire social
International audience; L'importance de la pensée italienne de la race a été longtemps sous-estimée. Cependant, en Italie autant qu'en France ou en Allemagne, nombre d'oeuvres littéraires ou de discours scientifiques mobilisent le concept de rac
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::760dfe1f4da0027d1af26b603c8ac347
https://hal.science/hal-01768471/document
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10
Character Varieties For : The Figure Eight Knot
Autor: Morwen Thistlethwaite, Antonin Guilloux, Elisha Falbel, Pierre-Vincent Koseleff, Fabrice Rouillier
Publikováno v: Experimental Mathematics. 25:219-235
We give a description of several representation varieties of the fundamental group of the complement of the figure eight knot in PGL (3, ℂ) or PSL (3, ℂ). We obtain a description of the projection of the representation variety into the character
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::32a59e4fadcc351cbdac6bf8fe1dd0db
https://doi.org/10.1080/10586458.2015.1068249
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