The Links-Gould Invariant of Links
David De Wit, Louis H Kauffman, Jon R Links
Abstract
We introduce and study in detail an invariant of (1,1) tangles. This invariant, derived from a family of four dimensional representations of the quantum superalgebra Uq[gl(2|1)], will be referred to as the Links-Gould invariant. We find that our invariant is distinct from the Jones, HOMFLY and Kauffman polynomials (detecting chirality of some links where these invariants fail), and that it does not distinguish mutants or inverses. The method of evaluation is based on an abstract tensor state model for the invariant that is quite useful for computation as well as theoretical exploration.
Create a lesson
Related papers
Linearity of Graph Manifold Groups
Daniel T. Wise
Finding the Birman-Series set
Peter Buser, Hugo Parlier
Thurston's Legacy at the Interface of Surface Dynamics, Train Tracks, and Arithmetic
Ahmad Rafiqi, Ayberk Zeytin
Recognizing oriented knots from finite quotients with one marked element
Indranil Biswas, Shrinit Singh
Symmetries of colored Khovanov-Rozansky homology
Alexis Guérin, Felix Roz
The Colored Jones Function does not determine any colored Links--Gould polynomial
Matthew Harper, Ben-Michael Kohli