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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Papers overview

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2012
2012
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
  • 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 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
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
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
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
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
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 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
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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