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Highly Cited

2015

Highly Cited

2015

We illustrate from the viewpoint of braiding operations on WZNW conformal blocks how colored HOMFLY polynomials with multiplicity…

Highly Cited

2014

Highly Cited

2014

A bstractWith the help of the evolution method we calculate all HOMFLY polynomials in all symmetric representations [r] for a…

2012

2012

We prove that the colored HOMFLY polynomial of a link, colored by symmetric or exterior powers of the fundamental representation…

Highly Cited

2012

Highly Cited

2012

We show that refined Chern-Simons theory and large N duality can be used to study the refined topological string with and without…

2012

2012

Given a planar curve singularity, we prove a conjecture of Oblomkov–Shende, relating the geometry of its Hilbert scheme of points…

Highly Cited

2011

Highly Cited

2011

We suggest to associate with each knot the set of coefficients of its HOMFLY polynomial expansion into the Schur functions. For…

Highly Cited

2011

Highly Cited

2011

A bstractCharacter expansion is introduced and explicitly constructed for the (noncolored) HOMFLY polynomials of the simplest…

Highly Cited

2011

Highly Cited

2011

We propose a spectral curve describing torus knots and links in the B-model. In particular, the application of the topological…

1998

1998

We prove that the number of linearly independent Vassiliev invariants for an r-component link of order n, which derived from the…

Highly Cited

1988

Highly Cited

1988

The purpose of this paper is to present a certain combinatorial method of constructing invariants of isotopy classes of oriented…