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2009 The volume conjecture for augmented knotted trivalent graphs
Roland van der Veen
Algebr. Geom. Topol. 9(2): 691-722 (2009). DOI: 10.2140/agt.2009.9.691

Abstract

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.

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Roland van der Veen. "The volume conjecture for augmented knotted trivalent graphs." Algebr. Geom. Topol. 9 (2) 691 - 722, 2009. https://doi.org/10.2140/agt.2009.9.691

Information

Received: 5 February 2009; Revised: 4 March 2009; Accepted: 11 March 2009; Published: 2009
First available in Project Euclid: 20 December 2017

zbMATH: 1166.57006
MathSciNet: MR2496886
Digital Object Identifier: 10.2140/agt.2009.9.691

Subjects:
Primary: 57M25 , 57M27

Keywords: 6j symbol , augmented , graph complement , graph invariant , Hyperbolic , hyperbolic volume , Jones polynomial , Kashaev invariant , knot complement , knotted trivalent graph , octahedra , skein theory , Volume conjecture

Rights: Copyright © 2009 Mathematical Sciences Publishers

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