Add to ORKG18 pagesInternational audienceWe show that the Casson knot invariant, linking number and Milnor's triple linking number, together with a certain 2-string link invariant $V_2$, are necessary and sufficient to express any string link Vassiliev invariant of order two. Explicit combinatorial formulas are given for these invariants. This result is applied to the theory of claspers for string links
29 pagesInternational audienceThe universal sl_2 invariant of string links has a universality proper...
AbstractIn this paper, we restrict the Vassiliev invariants of order at most n to a twist sequence. ...
We introduce the concept of "claspers," which are surfaces in 3-manifolds with some additi...
Abstract. We investigate Vassiliev homotopy invariants of string links, and find that in this partic...
Rapporteurs : Thomas Fiedler, Gregor Masbaum. Jury : Christian Blanchet, Sylvain Gervais, Nathan Hab...
In [5] M. Polyak and O. Viro developed a graphical calculus of diagrammatic formulas for Vassiliev l...
AbstractWe give an explicit algorithm for computing all of Vassiliev's knot invariants of order ⩽ n,...
AbstractWe study the Goussarov–Habiro finite type invariants theory for framed string links in homol...
V. Vassiliev [l] introduced a natural filtration in the space of finite order knot invariants. The c...
This paper is an introductory survey of the combinatorial aspects of the Vassiliev theory of knot in...
In 1992, Xiao-Song Lin constructed an invariant h of knots in the 3-sphere via a signed count of the...
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 20...
We analyze the perturbative series expansion of the vacuum expectation value of a Wilson loop in Che...
Color poster with text, images, and formulas.In the 1950’s Milnor defined a new family of tools of l...
AbstractWe define and study Vassiliev invariants for (long) Morse knots. It is shown that there are ...
29 pagesInternational audienceThe universal sl_2 invariant of string links has a universality proper...
AbstractIn this paper, we restrict the Vassiliev invariants of order at most n to a twist sequence. ...
We introduce the concept of "claspers," which are surfaces in 3-manifolds with some additi...
Abstract. We investigate Vassiliev homotopy invariants of string links, and find that in this partic...
Rapporteurs : Thomas Fiedler, Gregor Masbaum. Jury : Christian Blanchet, Sylvain Gervais, Nathan Hab...
In [5] M. Polyak and O. Viro developed a graphical calculus of diagrammatic formulas for Vassiliev l...
AbstractWe give an explicit algorithm for computing all of Vassiliev's knot invariants of order ⩽ n,...
AbstractWe study the Goussarov–Habiro finite type invariants theory for framed string links in homol...
V. Vassiliev [l] introduced a natural filtration in the space of finite order knot invariants. The c...
This paper is an introductory survey of the combinatorial aspects of the Vassiliev theory of knot in...
In 1992, Xiao-Song Lin constructed an invariant h of knots in the 3-sphere via a signed count of the...
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 20...
We analyze the perturbative series expansion of the vacuum expectation value of a Wilson loop in Che...
Color poster with text, images, and formulas.In the 1950’s Milnor defined a new family of tools of l...
AbstractWe define and study Vassiliev invariants for (long) Morse knots. It is shown that there are ...
29 pagesInternational audienceThe universal sl_2 invariant of string links has a universality proper...
AbstractIn this paper, we restrict the Vassiliev invariants of order at most n to a twist sequence. ...
We introduce the concept of "claspers," which are surfaces in 3-manifolds with some additi...
