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… (More)
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Related topics

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5 relations
Alexander polynomialJones polynomialKauffman polynomialKnot polynomial
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Papers overview

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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… (More)
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2011
2011
HOMFLY POLYNOMIALS AS VASSILIEV LINK INVARIANTS
  • TAIZO KANENOBU, YASUYUKI MIYAZAWA, Y. MIYAZAWA
  • 2011
We prove that the number of linearly independent Vassiliev invariants for an r-component link of order n, which derived from the… (More)
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2011
2011
THE HILBERT SCHEME OF A PLANE CURVE SINGULARITY AND THE HOMFLY POLYNOMIAL OF ITS LINK
The intersection of a complex plane curve with a small three-sphere surrounding one of its singularities is a non-trivial link… (More)
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2011
2011
A Formula for the HOMFLY Polynomial of rational links
We give an explicit formula for the HOMFLY polynomial of a rational link (in particular, knot) in terms of a special continued… (More)
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2009
2009
CIRCUIT PARTITIONS AND THE HOMFLY POLYNOMIAL OF CLOSED BRAIDS
We present an expansion of the hom fly pOlynomial P(D, z, a) of a braid diagram D in terms of its circuit partitions. Another… (More)
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2008
2008
Meridian twisting of closed braids and the Homfly polynomial
Let β be a braid on n strands, with exponent sum w. Let ∆ be the Garside half-twist braid. We prove that the coefficient of v in… (More)
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2008
2008
ON THE HECKE ALGEBRAS AND THE COLORED HOMFLY POLYNOMIAL
The colored HOMFLY polynomial is the quantum invariant of oriented links in S3 associated with irreducible representations of the… (More)
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2003
2003
Kontsevich ’ s integral for the Homfly polynomial and relations between values of multiple zeta functions
Kontsevicb’s integral for the Homfly polynomial is studied by using representations of the chord diagram algebras via classical r… (More)
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2000
2000
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… (More)
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1996
1996
THE HOMFLY POLYNOMIAL FOR LINKS IN RATIONAL HOMOLOGY 3-SPHERES
We construct a polynomial invariant, for links in a large class of rational homology 3-spheres, which generalizes the 2-variable… (More)
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