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…

Papers overview

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2017

2016

By using the HOMFLY skein theory, we prove a strong integrality theorem for the reduced colored HOMFLYPT invariants defined by a…

2014

We investigate possibilities of generalizing the TBEM (Tierz, Brini-Eynard-Mariño) eigenvalue matrix model, which represents the…

2012

National Natural Science Foundation of China [10831001]; Fundamental Research Funds for the Central Universities [2010121007]

2008

In this paper we compute the reduced HOMFLY-PT homologies of the Conway and the Kinoshita-Terasaka knots and show that they are…

2008

We exhibit an infinite family of knots that are detected chiral by the Kauffman polynomial but not by the HOMFLY polynomial.

2006

We show that an arbitrary tangle T can be extended to produce diagrams of two distinct knots that cannot be distinguished by the…

2002

We show that the integer-valued knot invariants appearing as the nontrivial coefficients of the HOMFLY polynomial, the Kauffman…

2000

1998

We prove that the number of linearly independent Vassiliev invariants for an r-component link of order n, which derived from the…