English

Linv invariant and $G_2$ web space

Geometric Topology 2019-02-27 v1 Quantum Algebra

Abstract

In this paper, we reconstruct Kuperberg's G2G_2 web space. We introduce a new web (a trivalent diagram) and new relations between Kuperberg's web diagrams and the new diagram. Using the G2G_2 webs, we define crossing formulas corresponding to R-matrices associated to some G2G_2 irreducible representations and calculate G2G_2 quantum link invariant for some torus links.

Cite

@article{arxiv.1503.08414,
  title  = {Linv invariant and $G_2$ web space},
  author = {Takuro Sakamoto and Yasuyoshi Yonezawa},
  journal= {arXiv preprint arXiv:1503.08414},
  year   = {2019}
}

Comments

12 pages

R2 v1 2026-06-22T09:04:49.688Z