Virtual knots are associated with knot diagrams, which are not obligatory planar. The recently sug-gested generalization from N = 2 to arbitrary N of the Kauffman-Khovanov calculus of cycles in resolved diagrams can be straightforwardly applied to non-planar case. In simple examples we demonstrate that this construction preserves topological invariance – thus implying the existence of HOMFLY extension of cabled Jones polynomials for virtual knots and links.
AbstractThis paper is an introduction to the theory of virtual knots. It is dedicated to the memory ...
Abstract Kuperberg [15] has shown that a virtual knot diagram corre-sponds (up to generalized Reidem...
Abstract Kuperberg [15] has shown that a virtual knot diagram corre-sponds (up to generalized Reidem...
AbstractVirtual knots are associated with knot diagrams, which are not obligatory planar. The recent...
Virtual knots are associated with knot diagrams, which are not obligatory planar. The recently sugge...
AbstractVirtual knots are associated with knot diagrams, which are not obligatory planar. The recent...
AbstractWe claim that HOMFLY polynomials for virtual knots, defined with the help of the matrix-mode...
AbstractWe claim that HOMFLY polynomials for virtual knots, defined with the help of the matrix-mode...
I Virtual link diagrams LD are a combinatorial de-scription of link diagrams in Fg; The virtual tref...
AbstractWe introduce a graph diagram which can be regarded as a generalized link diagram. By using i...
Two categorifications are given for the arrow polynomial, an extension of the Kauffman bracket polyn...
We construct a graph-valued analogue of the Homflypt sl(3) invariant for virtual knots. The restrict...
We construct a graph-valued analogue of the Homflypt sl(3) invariant for virtual knots. The restrict...
Two categorifications are given for the arrow polynomial, an extension of the Kauffman bracket polyn...
Since discovery of the Jones polynomial, knot theory has enjoyed a virtual explosion of important re...
AbstractThis paper is an introduction to the theory of virtual knots. It is dedicated to the memory ...
Abstract Kuperberg [15] has shown that a virtual knot diagram corre-sponds (up to generalized Reidem...
Abstract Kuperberg [15] has shown that a virtual knot diagram corre-sponds (up to generalized Reidem...
AbstractVirtual knots are associated with knot diagrams, which are not obligatory planar. The recent...
Virtual knots are associated with knot diagrams, which are not obligatory planar. The recently sugge...
AbstractVirtual knots are associated with knot diagrams, which are not obligatory planar. The recent...
AbstractWe claim that HOMFLY polynomials for virtual knots, defined with the help of the matrix-mode...
AbstractWe claim that HOMFLY polynomials for virtual knots, defined with the help of the matrix-mode...
I Virtual link diagrams LD are a combinatorial de-scription of link diagrams in Fg; The virtual tref...
AbstractWe introduce a graph diagram which can be regarded as a generalized link diagram. By using i...
Two categorifications are given for the arrow polynomial, an extension of the Kauffman bracket polyn...
We construct a graph-valued analogue of the Homflypt sl(3) invariant for virtual knots. The restrict...
We construct a graph-valued analogue of the Homflypt sl(3) invariant for virtual knots. The restrict...
Two categorifications are given for the arrow polynomial, an extension of the Kauffman bracket polyn...
Since discovery of the Jones polynomial, knot theory has enjoyed a virtual explosion of important re...
AbstractThis paper is an introduction to the theory of virtual knots. It is dedicated to the memory ...
Abstract Kuperberg [15] has shown that a virtual knot diagram corre-sponds (up to generalized Reidem...
Abstract Kuperberg [15] has shown that a virtual knot diagram corre-sponds (up to generalized Reidem...