publication . Preprint . Article . Other literature type . 2017

Linv invariant and $G_2$ web space

Takuro Sakamoto; Yasuyoshi Yonezawa;
Open Access English
  • Published: 01 Mar 2017
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.
Persistent Identifiers
arXiv: Mathematics::Geometric TopologyMathematics::Differential GeometryComputer Science::Information RetrievalComputer Science::Digital LibrariesMathematics::Quantum Algebra
free text keywords: Mathematics - Geometric Topology, Mathematics - Quantum Algebra, Quantum link invariant, 81R50, 57M25, Mathematics, Quantum group, Diagram, Invariant (mathematics), Discrete mathematics, Quantum, Web space, Torus, Irreducible representation

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