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HOMFLY polynomial

Known as: HOMFLYPT polynomial, HOMFLY invariant, HOMFLY(PT) polynomial 
In the mathematical field of knot theory, the HOMFLY polynomial, sometimes called the HOMFLY-PT polynomial or the generalized Jones polynomial, is a… 
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Papers overview

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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…