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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

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Highly Cited
2015
Highly Cited
2015
Colored HOMFLY polynomials of knots presented as double fat diagrams
A bstractMany knots and links in S3 can be drawn as gluing of three manifolds with one or more four-punctured S2 boundaries. We… Expand
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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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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
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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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
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Highly Cited
2012
Highly Cited
2012
Torus Knots and Mirror Symmetry
We propose a spectral curve describing torus knots and links in the B-model. In particular, the application of the topological… 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
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Highly Cited
2011
Highly Cited
2011
Character expansion for HOMFLY polynomials. I. Integrability and difference equations
We suggest to associate with each knot the set of coefficients of its HOMFLY polynomial expansion into the Schur functions. For… 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
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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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