Geodesic
The volume conjecture for augmented knotted trivalent graphs
van der Veen, Roland1
1 KdV Institute for Mathematics, University of Amsterdam, Plantage Muidergracht 24, 1018 TV Amsterdam, The Netherlands
Algebraic and Geometric Topology, Tome 9 (2009) no. 2, pp. 691-722

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We propose to generalize the volume conjecture to knotted trivalent graphs and we prove the conjecture for all augmented knotted trivalent graphs. As a corollary we find that for any link L there is an arithmetic link containing L for which the volume conjecture holds.

DOI : 10.2140/agt.2009.9.691
Keywords: volume conjecture, Jones polynomial, Kashaev invariant, knotted trivalent graph, augmented, knot complement, hyperbolic volume, graph complement, graph invariant, octahedra, hyperbolic, 6j symbol, skein theory

van der Veen, Roland 1

1 KdV Institute for Mathematics, University of Amsterdam, Plantage Muidergracht 24, 1018 TV Amsterdam, The Netherlands 
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van der Veen, Roland. The volume conjecture for augmented knotted trivalent graphs. Algebraic and Geometric Topology, Tome 9 (2009) no. 2, pp. 691-722. doi: 10.2140/agt.2009.9.691

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