Zobrazeno 1 - 10 of 15 pro vyhledávání: '"Benjamin Audoux"'
1
On multiplicity of eigenvalues and symmetry of eigenfunctions of the p-Laplacian
Autor: Enea Parini, Benjamin Audoux, Vladimir Bobkov
Publikováno v: Topological Methods in Nonlinear Analysis
Topological Methods in Nonlinear Analysis, Juliusz Schauder University Centre for Nonlinear Studies, 2018, 51 (2), pp.565-582. ⟨10.12775/TMNA.2017.055⟩
Topological Methods in Nonlinear Analysis, 2018, 51 (2), pp.565-582. ⟨10.12775/TMNA.2017.055⟩
Topol. Methods Nonlinear Anal. 51, no. 2 (2018), 565-582
We investigate multiplicity and symmetry properties of higher eigenvalues and eigenfunctions of the $p$-Laplacian under homogeneous Dirichlet boundary conditions on certain symmetric domains $\Omega \subset \mathbb{R}^N$. By means of topological argu
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d901ba655e0082f4752d5cdd30df83b9
https://hal.archives-ouvertes.fr/hal-01505548/file/p-Laplacian.pdf
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2
The Rasmussen invariant and the Milnor conjecture
Autor: Benjamin Audoux
Publikováno v: Winter Braids Lecture Notes. 1:1-19
These notes were written for a serie of lectures on the Rasmussen invariant and the Milnor conjecture, given at Winter Braids IV in February 2014.
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https://doi.org/10.5802/wbln.2
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3
On codimension two embeddings up to link-homotopy
Autor: Emmanuel Wagner, Jean-Baptiste Meilhan, Benjamin Audoux
Publikováno v: Journal of topology
Journal of topology, Oxford University Press, 2017, 10 (4), pp.1107-1123. ⟨10.1112/topo.12041⟩
Journal of topology, Oxford University Press, 2017, 10 (4), pp.1107-1123. 〈10.1112/topo.12041〉
Journal of topology, 2017, 10 (4), pp.1107-1123. ⟨10.1112/topo.12041⟩
We consider knotted annuli in 4-space, called 2-string-links, which are knotted surfaces in codimension two that are naturally related, via closure operations, to both 2-links and 2-torus links. We classify 2-string-links up to link-homotopy by means
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https://hal.archives-ouvertes.fr/hal-01504996v2/document
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4
Toward universality in degree 2 of the Kricker lift of the Kontsevich integral and the Lescop equivariant invariant
Autor: Delphine Moussard, Benjamin Audoux
Publikováno v: International Journal of Mathematics
International Journal of Mathematics, World Scientific Publishing, 2019, 30 (5), pp.1950021
International Journal of Mathematics, 2019, 30 (5), pp.1950021. ⟨10.1142/S0129167X19500216⟩
International Journal of Mathematics, World Scientific Publishing, 2019, 30 (5), pp.1950021. ⟨10.1142/S0129167X19500216⟩
International Journal of Mathematics, 2019, 30 (5), pp.1950021
In the setting of finite type invariants for null-homologous knots in rational homology 3-spheres with respect to null Lagrangian-preserving surgeries, there are two candidates to be universal invariants, defined respectively by Kricker and Lescop. I
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http://arxiv.org/abs/1710.09730
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5
On hyperbolic knots in S^3 with exceptional surgeries at maximal distance
Autor: Ana G. Lecuona, Benjamin Audoux, Fionntan Roukema
Publikováno v: Algebraic and Geometric Topology
Algebraic and Geometric Topology, Mathematical Sciences Publishers, 2018, 18 (4), pp.2371-2417. ⟨10.2140/agt.2018.18.2371⟩
Algebraic and Geometric Topology, 2018, 18 (4), pp.2371-2417. ⟨10.2140/agt.2018.18.2371⟩
Algebr. Geom. Topol. 18, no. 4 (2018), 2371-2417
Baker showed that 10 of the 12 classes of Berge knots are obtained by surgery on the minimally twisted 5-chain link. In this article we enumerate all hyperbolic knots in S^3 obtained by surgery on the minimally twisted 5 chain link that realize the m
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6
On the welded Tube map
Autor: Benjamin Audoux
Publikováno v: Knot theory and its applications. ICTS program knot theory and its applications (KTH-2013), IISER Mohali, India, December 10--20, 2013
Knot theory and its applications. ICTS program knot theory and its applications (KTH-2013), IISER Mohali, India, December 10--20, 2013, 2016, ⟨10.1090/conm/670/13457⟩
This note investigates the so-called Tube map which connects welded knots, that is a quotient of the virtual knot theory, to ribbon torus-knots, that is a restricted notion of fillable knotted tori in the 4-sphere. It emphasizes the fact that ribbon
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https://hal.science/hal-01066617/document
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7
On Usual, Virtual and Welded knotted objects up to homotopy
Autor: Benjamin Audoux, Paolo Bellingeri, Emmanuel Wagner, Jean-Baptiste Meilhan
Publikováno v: Journal of the Mathematical Society of Japan
Journal of the Mathematical Society of Japan, Maruzen Company Ltd, 2017, 69 (3), pp.1079--1097. 〈10.2969/jmsj/06931079〉
J. Math. Soc. Japan 69, no. 3 (2017), 1079-1097
Journal of the Mathematical Society of Japan, Maruzen Company Ltd, 2017, 69 (3), pp.1079--1097. ⟨10.2969/jmsj/06931079⟩
Journal of the Mathematical Society of Japan, 2017, 69 (3), pp.1079--1097. ⟨10.2969/jmsj/06931079⟩
We consider several classes of knotted objects, namely usual, virtual and welded pure braids and string links, and two equivalence relations on those objects, induced by either self-crossing changes or self-virtualizations. We provide a number of res
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http://arxiv.org/abs/1507.00202
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8
On tensor products of CSS Codes
Autor: Benjamin Audoux, Alain Couvreur
Publikováno v: Annales de l’Institut Henri Poincaré (D) Combinatorics, Physics and their Interactions
Annales de l’Institut Henri Poincaré (D) Combinatorics, Physics and their Interactions, 2019, 6 (2), pp.239-287. ⟨10.4171/AIHPD/71⟩
Annales de l’Institut Henri Poincaré (D) Combinatorics, Physics and their Interactions, European Mathematical Society, 2019, 6 (2), pp.239-287. ⟨10.4171/AIHPD/71⟩
CSS codes are in one-to-one correspondance with length 3 chain complexes. The latter are naturally endowed with a tensor product $\otimes$ which induces a similar operation on the former. We investigate this operation, and in particular its behavior
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9
Homotopy classification of ribbon tubes and welded string links
Autor: Emmanuel Wagner, Jean-Baptiste Meilhan, Benjamin Audoux, Paolo Bellingeri
Publikováno v: Annali della Scuola Normale Superiore di Pisa, Classe di Scienze
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, Scuola Normale Superiore 2017, 17 (2), pp.713-761. ⟨10.2422/2036-2145.201507_003⟩
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 2017, 17 (2), pp.713-761. 〈10.2422/2036-2145.201507_003〉
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 2017, 17 (2), pp.713-761. ⟨10.2422/2036-2145.201507_003⟩
Ribbon 2-knotted objects are locally flat embeddings of surfaces in 4-space which bound immersed 3-manifolds with only ribbon singularities. They appear as topological realizations of welded knotted objects, which is a natural quotient of virtual kno
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10
An application of Khovanov homology to quantum codes
Autor: Benjamin Audoux
Publikováno v: Annales de l’Institut Henri Poincaré (D) Combinatorics, Physics and their Interactions
Annales de l’Institut Henri Poincaré (D) Combinatorics, Physics and their Interactions, 2014, 1 (2), pp.185--223. ⟨10.4171/AIHPD/6⟩
Annales de l’Institut Henri Poincaré (D) Combinatorics, Physics and their Interactions, European Mathematical Society, 2014, 1 (2), pp.185--223. ⟨10.4171/AIHPD/6⟩
We use Khovanov homology to define families of LDPC quantum error-correcting codes: unknot codes with asymptotical parameters [[3^(2l+1)/sqrt(8{\pi}l);1;2^l]]; unlink codes with asymptotical parameters [[sqrt(2/2{\pi}l)6^l;2^l;2^l]] and (2,l)-torus l
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d02847159ece2a7ff6dc7204ae5247de
http://arxiv.org/abs/1307.4677
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