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The
volume conjecture for augmented knotted trivalent graphs
Roland van der Veen |
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Algebraic & Geometric Topology 9 (2009) 691–722
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Abstract |
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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 there is an arithmetic link containing for which the volume conjecture holds. |
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
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Mathematical Subject Classification 2000
Primary: 57M25, 57M27
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References |
Publication
Received: 5 February 2009
Revised: 4 March 2009
Accepted: 11 March 2009
Published: 9 April 2009
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Authors |
| Roland van der Veen | |
| KdV Institute for Mathematics University of Amsterdam Plantage Muidergracht 24 1018 TV Amsterdam The Netherlands |
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| http://www.science.uva.nl/~riveen | |
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