AbstractWe prove that the number of primitive Vassiliev knot invariants of degree d grows at least as dlog(d) when d tends to infinity. In particular it grows faster than any polynomial in d. The proof is based on the explicit construction of an ample family of linearly independent primitive elements in the corresponding graded Hopf algebra
V. Vassiliev [l] introduced a natural filtration in the space of finite order knot invariants. The c...
We prove that the number of linearly independent Vassiliev invariants for an r-component link of ord...
. Three results are shown which demonstrate how Vassiliev invariants behave like polynomials. 0. In...
13 pages, 2 figuresIn this paper we prove that the $r$-th ADO polynomial of a knot, for $r$ a power ...
13 pages, 2 figuresIn this paper we prove that the $r$-th ADO polynomial of a knot, for $r$ a power ...
13 pages, 2 figuresIn this paper we prove that the $r$-th ADO polynomial of a knot, for $r$ a power ...
The best known examples of Vassiliev invariants are the coefficients of a Jones-type polynomial expa...
Abstract. The theory of knot invariants of finite type (Vassiliev invariants) is described. These in...
Recently, Stoimenow [J. Knot Th. Ram. 7 (1998), 93-114] gave an upper bound on the dimension dn of t...
Recently, Stoimenow [J. Knot Th. Ram. 7 (1998), 93-114] gave an upper bound on the dimension dn of t...
AbstractWe give a criterion to detect whether the derivatives of knot polynomials at a point are Vas...
1.Title page, Table of Contents, Abstract 1.Vassiliev Invariants for knots1 1.1 The classificati...
AbstractIntroducing a way to modify knots using n-trivial rational tangles, we show that knots with ...
We give a criterion for a knot invariant, which is additive under connected sum, to be approximated ...
V. Vassiliev [l] introduced a natural filtration in the space of finite order knot invariants. The c...
V. Vassiliev [l] introduced a natural filtration in the space of finite order knot invariants. The c...
We prove that the number of linearly independent Vassiliev invariants for an r-component link of ord...
. Three results are shown which demonstrate how Vassiliev invariants behave like polynomials. 0. In...
13 pages, 2 figuresIn this paper we prove that the $r$-th ADO polynomial of a knot, for $r$ a power ...
13 pages, 2 figuresIn this paper we prove that the $r$-th ADO polynomial of a knot, for $r$ a power ...
13 pages, 2 figuresIn this paper we prove that the $r$-th ADO polynomial of a knot, for $r$ a power ...
The best known examples of Vassiliev invariants are the coefficients of a Jones-type polynomial expa...
Abstract. The theory of knot invariants of finite type (Vassiliev invariants) is described. These in...
Recently, Stoimenow [J. Knot Th. Ram. 7 (1998), 93-114] gave an upper bound on the dimension dn of t...
Recently, Stoimenow [J. Knot Th. Ram. 7 (1998), 93-114] gave an upper bound on the dimension dn of t...
AbstractWe give a criterion to detect whether the derivatives of knot polynomials at a point are Vas...
1.Title page, Table of Contents, Abstract 1.Vassiliev Invariants for knots1 1.1 The classificati...
AbstractIntroducing a way to modify knots using n-trivial rational tangles, we show that knots with ...
We give a criterion for a knot invariant, which is additive under connected sum, to be approximated ...
V. Vassiliev [l] introduced a natural filtration in the space of finite order knot invariants. The c...
V. Vassiliev [l] introduced a natural filtration in the space of finite order knot invariants. The c...
We prove that the number of linearly independent Vassiliev invariants for an r-component link of ord...
. Three results are shown which demonstrate how Vassiliev invariants behave like polynomials. 0. In...
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