We present a simple combinatorial model for quasipositive surfaces and positive braids, based on embedded bipartite graphs. As a first application, we extend the well-known duality on standard diagrams of torus links to twisted torus links. We then introduce a combinatorial notion of adjacency for bipartite graph links and discuss its potential relation with the adjacency problem for plane curve singularities
We introduce dual graph diagrams representing oriented knots and links. We use these combinatorial s...
Abstract. It is well known that a plane graph is Eulerian if and only if its geometric dual is bipar...
galacInternational audienceWe show new bijective proofs of previously known formulas for the number ...
We present a simple combinatorial model for quasipositive surfaces and positive braids, based on emb...
We prove that any link admitting a diagram with a single negative crossing is strongly quasipositive...
Abstract. We introduce a polynomial invariant of graphs on surfaces, PG, gener-alizing the classical...
We prove that any link admitting a diagram with a single negative crossing is strongly quasipositive...
Strongly quasipositive links are those links which can be seen as closures of positive braids in te...
AbstractWe generalize the natural duality of graphs embedded into a surface to a duality with respec...
Quasipositive surfaces originally arose in the study of complex plane curves in the \u2780s. They we...
The objects of study in this thesis are knots. More precisely, positive braid knots, which include a...
Abstract Is any positive knot the closure of a positive braid? No. But if we consider positivity in ...
A braid is called quasipositive if it is a product of conjugates of standard generators of the braid...
This monograph derives direct and concrete relations between colored Jones polynomials and the topol...
Abstract. We introduce a monoid corresponding to knotted surfaces in four space, from its hyperbolic...
We introduce dual graph diagrams representing oriented knots and links. We use these combinatorial s...
Abstract. It is well known that a plane graph is Eulerian if and only if its geometric dual is bipar...
galacInternational audienceWe show new bijective proofs of previously known formulas for the number ...
We present a simple combinatorial model for quasipositive surfaces and positive braids, based on emb...
We prove that any link admitting a diagram with a single negative crossing is strongly quasipositive...
Abstract. We introduce a polynomial invariant of graphs on surfaces, PG, gener-alizing the classical...
We prove that any link admitting a diagram with a single negative crossing is strongly quasipositive...
Strongly quasipositive links are those links which can be seen as closures of positive braids in te...
AbstractWe generalize the natural duality of graphs embedded into a surface to a duality with respec...
Quasipositive surfaces originally arose in the study of complex plane curves in the \u2780s. They we...
The objects of study in this thesis are knots. More precisely, positive braid knots, which include a...
Abstract Is any positive knot the closure of a positive braid? No. But if we consider positivity in ...
A braid is called quasipositive if it is a product of conjugates of standard generators of the braid...
This monograph derives direct and concrete relations between colored Jones polynomials and the topol...
Abstract. We introduce a monoid corresponding to knotted surfaces in four space, from its hyperbolic...
We introduce dual graph diagrams representing oriented knots and links. We use these combinatorial s...
Abstract. It is well known that a plane graph is Eulerian if and only if its geometric dual is bipar...
galacInternational audienceWe show new bijective proofs of previously known formulas for the number ...
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