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Where the Links--Gould invariant first fails to distinguish nonmutant prime knots
David De Wit, Jon Links
It is known that the first two-variable Links--Gould quantum link invariant is more powerful than the HOMFLYPT and Kauffman polynomials, in that it distinguishe…
The 2-bridge knots of up to 16 crossings
David De Wit
For any given number of crossings , there exists a formula to determine the number of 2-bridge knots of crossings, and indeed it is a simple matter to actually construct pre…
Link Invariants Associated with Gauge Equivalent Solutions of the Yang-Baxter Equation: the One-Parameter Family of Minimal Typical Representations of U_q[gl(2|1)]
Jon R Links, David De Wit
In this paper we investigate the construction of state models for link invariants using representations of the braid group obtained from various gauge choices for a solution of the…
An Infinite Suite of Links-Gould Invariants
David De Wit
This paper describes a method to obtain state model parameters for an infinite series of Links-Gould link invariants LG^{m,n}, based on quantum R matrices associated with the (\dot…
The Links-Gould Invariant
David De Wit
The ``Links-Gould invariant'' is a two-variable Laurent polynomial invariant of oriented (1,1) tangles, which is derived from the representation of the braid generator associated w…
Automatic Evaluation of the Links-Gould Invariant for all Prime Knots of up to 10 Crossings
David De Wit
This paper describes a method for the automatic evaluation of the Links-Gould two-variable polynomial link invariant (LG) for any link, given only a braid presentation. This method…