English

A cubic defining algebra for the Links-Gould polynomial

Geometric Topology 2012-03-28 v1 Quantum Algebra

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-Grould invariant of knots and links. We investigate several of its properties, and state several conjectures about its structure.

Keywords

Cite

@article{arxiv.1203.5981,
  title  = {A cubic defining algebra for the Links-Gould polynomial},
  author = {Ivan Marin and Emmanuel Wagner},
  journal= {arXiv preprint arXiv:1203.5981},
  year   = {2012}
}