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arXiv · 1503.08414

Linv invariant and $G_2$ web space

Takuro Sakamoto·Yasuyoshi Yonezawa
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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.

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Takuro Sakamoto, Yasuyoshi Yonezawa. 2015-03-29. Linv invariant and $G_2$ web space. https://doi.org/10.32917/hmj%2F1492048846

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