Benjamin Audoux
maitre de conférences at Centre de Mathématiques et Informatique, Aix-Marseille Université
interests: knot homology theories and their generalisations to other knotted objects, relation with error correcting quantum codes.
Main papers related to Vaskho project:
- On the welded Tube map, to appear in Contemporary Mathematics of the AMS.
- Surface with pulleys and Khovanov homology, J. Knot Theory Ramifications 20 (2011), no. 7, 1021-1040.
- Singular link Floer homology, Algebr. Geom. Topol. 9 (2009), 495-535.
- Khovanov homology and star-like isotopies, Topology Appl. 156 (2009), 1054-1070.
- A Jones polynomial for braid-like isotopies of oriented links and its categorification, with T. Fiedler, Alg. Geom. Topol. 5 (2005),1535-1553.
Paolo Bellingeri
maitre de conférences at Laboratoire de Mathématiques Nicolas Oresme, Université de Caen
interests: topological generalisations of braid groups: combinatorial properties and applications in knot theory.
Main papers related to Vaskho project:
- A simple solution to the word problem for virtual braid groups with B. Cisneros de La Cruz and L. Paris, preprint.
- The braid group of a necklace with A. Bodin, preprint.
- Unrestricted virtual braids, fused links and other quotients of virtual braid groups, with V.J.Bardakov and C. Damiani, J. Knot Theory Ramifications 24 (2015), 23 pages.
- Groups of virtual and welded links, with V.J.Bardakov, J. Knot Theory Ramifications 22 (2014), 23 pages.
- Surface framed braids, with S. Gervais, Geom. Dedicatae 159 (2012), 51--69.
- Hilden Braid groups, with A. Cattabriga, J. Knot Theory Ramif. 22 (2012), 22 pp.
- Combinatorial properties of virtual braid groups, with V.J.Bardakov, Topology and its Applications , 156 (2009), 1071-1082.
Jean-Baptiste Meilhan
maitre de conférences at Institut Fourier, Université Grenoble Alpes
interests: invariants of knotted objects and 3-manifolds, finite-type invariants.
Main papers related to Vaskho project:
- Riordan trees and the homotopy sl2 weight system, with S. Suzuki, preprint (2015).
- The universal sl2 invariant and Milnor invariants, with S. Suzuki, preprint (2014).
- Abelian quotients of the string link monoid, with A. Yasuhara, Alg. Geom. Topol. 14 (2014) 1461--1488.
- Equivalence relations for homology cylinders and the core of the Casson invariant , with G. Massuyeau, Trans. AMS 365 (2013), 5431--5502.
- Milnor invariants and the HOMFLYPT polynomial , with A. Yasuhara, Geometry & Topology 16 (2012) 889--917.
- Finite type invariants and fatgraphs , with J.E. Andersen, A.J. Bene and R.C. Penner, Advances Math. 225 (2010), 2117--2161.
- Characterization of finite type string link invariants of degree <5 , with A. Yasuhara, Math. Proc. Camb. Phil. Soc. 148 (2010), 439--472.
Emmanuel Wagner
maitre de conférence at at Institut Mathématique de Bourgogne, Université de Bourgogne
interests: categorification of knot invariants, connections between Khovanov and Heegaard-Floer homologies.
Main papers related to Vaskho project:
- Categorical action of the extended braid group of affine type A, with Agnès Gadbled et Anne-Laure Thiel, preprint.
- A cubic defining algebra for the Links-Gould polynomial,with Ivan Marin, Adv. Math. 248 (2013), 1332-1365..
- The homology of digraphs as a generalisation of Hochschild homology , with Paul Turner J. Algebra Appl. 11 (2012), no. 2, 1250031, 13 pp.
- On link homology theories and extended cobordism , with Anna Beliakova, Quantum Topol. 1 (2010), no. 4, 379--398.
- Grid diagrams and Khovanov homology , with Jean-Marie Droz, Algebraic and Geometric Topology, Volume 9, issue 3 (2009).
- Khovanov-Rozansky Graph Homology and Composition Product, J. Knot Theory Ramifications, 17, no.12 (2008), 1549-1559.