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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… Expand
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Related topics

Related topics

5 relations
Alexander polynomialJones polynomialKauffman polynomialKnot polynomial
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Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2015
2015
Colored HOMFLY polynomials can distinguish mutant knots
We illustrate from the viewpoint of braiding operations on WZNW conformal blocks how colored HOMFLY polynomials with multiplicity… Expand
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Highly Cited
2014
Highly Cited
2014
Colored HOMFLY polynomials for the pretzel knots and links
A bstractWith the help of the evolution method we calculate all HOMFLY polynomials in all symmetric representations [r] for a… Expand
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Highly Cited
2012
Highly Cited
2012
Character expansion for HOMFLY polynomials. II. Fundamental representation. Up to five strands in braid
A bstractCharacter expansion is introduced and explicitly constructed for the (noncolored) HOMFLY polynomials of the simplest… Expand
Highly Cited
2012
Highly Cited
2012
Refined Chern-Simons Theory and Topological String
We show that refined Chern-Simons theory and large N duality can be used to study the refined topological string with and without… Expand
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2012
2012
THE COLORED HOMFLY POLYNOMIAL IS q-HOLONOMIC
We prove that the colored HOMFLY polynomial of a link, colored by symmetric or exterior powers of the fundamental representation… Expand
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Highly Cited
2012
Highly Cited
2012
HOMFLY and superpolynomials for figure eight knot in all symmetric and antisymmetric representations
A bstractExplicit answer is given for the HOMFLY polynomial of the figure eight knot 41 in arbitrary symmetric representation R… Expand
2008
2008
THE REDUCED HOMFLY-PT HOMOLOGY FOR THE CONWAY AND THE KINOSHITA-TERASAKA KNOTS
In this paper we compute the reduced HOMFLY-PT homologies of the Conway and the Kinoshita-Terasaka knots and show that they are… Expand
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Highly Cited
2001
Highly Cited
2001
THE HOMFLY POLYNOMIAL OF THE DECORATED HOPF LINK
The main goal is to find the Homfly polynomial of a link formed by decorating each component of the Hopf link with the closure of… Expand
1998
1998
Homfly polynomials as vassiliev link invariants
We prove that the number of linearly independent Vassiliev invariants for an r-component link of order n, which derived from the… Expand
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Highly Cited
1988
Highly Cited
1988
Invariants of links of Conway type
The purpose of this paper is to present a certain combinatorial method of constructing invariants of isotopy classes of oriented… Expand
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