13 citations · 46 across the 11 of their papers we have counts for
12 papers
Slope and concordance of links
Alex Degtyarev, Vincent Florens, Ana G. Lecuona
The slope is an isotopy invariant of colored links with a distinguished component, initially introduced by the authors to describe an extra correction term in the computation of th…
A Slope invariant and the A-polynomial of knots
Leo Benard, Vincent Florens, Adrien Rodau
The A-polynomial is a knot invariant related to the space of representations of the knot group. In this paper our interests lies in the logarithmic Gauss map of…
Slopes of links and signature formulas
Alex Degtyarev, Vincent Florens, Ana G. Lecuona
We present a new invariant, called slope, of a colored link in an integral homology sphere and use this invariant to complete the signature formula for the splice of two links. We…
Torsions and intersection forms of 4-manifolds from trisection diagrams
Vincent Florens, Delphine Moussard
Gay and Kirby introduced trisections which describe any closed oriented smooth 4-manifold as a union of three four-dimensional handlebodies. A trisection is encoded in a diagra…
A functorial extension of the Magnus representation to the category of three-dimensional cobordisms
Vincent Florens, Gwenael Massuyeau, Juan Serrano de Rodrigo
Let be an integral domain and be a subgroup of its group of units. We consider the category of 3-dimensional cobordisms between oriented surfaces…
Alexander invariants of ribbon tangles and planar algebras
Celeste Damiani, Vincent Florens
Ribbon tangles are proper embeddings of tori and cylinders in the -ball~, "bounding" -manifolds with only ribbon disks as singularities. We construct an Alexander invari…
The signature of a splice
Alex Degtyarev, Vincent Florens, Ana G. Lecuona
We study the behavior of the signature of colored links [Flo05, CF08] under the splice operation. We extend the construction to colored links in integral homology spheres and show…
A topological invariant of line arrangements
Enrique Artal Bartolo, Vincent Florens, Benoît Guerville-BallÉ
We define a new topological invariant of line arrangements in the complex projective plane. This invariant is a root of unity defined under some combinatorial restrictions for arra…
A functorial extension of the abelian Reidemeister torsions of three-manifolds
Vincent Florens, Gwenael Massuyeau
Let be a field and let be a multiplicative subgroup. We consider the category of -dimensional cobordisms equi…
Alexander representation of tangles
Stephen Bigelow, Alessia Cattabriga, Vincent Florens
A tangle is an oriented 1-submanifold of the cylinder whose endpoints lie on the two disks in the boundary of the cylinder. Using an algebraic tool developed by Lescop, we extend t…
Generalized Seifert surfaces and signatures of colored links
David Cimasoni, Vincent Florens
In this paper, we use `generalized Seifert surfaces' to extend the Levine-Tristram signature to colored links in S^3. This yields an integral valued function on the m-dimensional t…
On the slice genus of links
Vincent Florens, Patrick M. Gilmer
We define Casson-Gordon sigma-invariants for links and give a lower bound of the slice genus of a link in terms of these invariants. We study as an example a family of two componen…