Linv invariant and $G_2$ web space

Takuro Sakamoto; Yasuyoshi Yonezawa

doi:10.32917/hmj/1492048846

paper

Linv invariant and $G_{2}$ web space

arXiv:1503.08414 · doi:10.32917/hmj/1492048846

Abstract

In this paper, we reconstruct Kuperberg's $G_{2}$ web space. We introduce a new web (a trivalent diagram) and new relations between Kuperberg's web diagrams and the new diagram. Using the $G_{2}$ webs, we define crossing formulas corresponding to R-matrices associated to some $G_{2}$ irreducible representations and calculate $G_{2}$ quantum link invariant for some torus links.

12 pages

Linv invariant and G2​ web space

Abstract

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Linv invariant and $G_{2}$ web space