6533b7cffe1ef96bd1258c78

RESEARCH PRODUCT

A cubic defining algebra for the Links–Gould polynomial

Emmanuel WagnerIvan Marin

subject

Essentially uniqueAlgebraMarkov chainGeneral MathematicsBraid groupGroup algebraBraid theoryInvariant (mathematics)Mathematics::Geometric TopologyQuotientMathematics

description

Abstract We define a finite-dimensional cubic quotient of the group algebra of the braid group, endowed with a (essentially unique) Markov trace which affords the Links–Gould invariant of knots and links. We investigate several of its properties, and state several conjectures about its structure.

https://doi.org/10.1016/j.aim.2013.08.012