English

The volume conjecture for augmented knotted trivalent graphs

Geometric Topology 2014-10-01 v2 Quantum Algebra

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 a link containing L for which the volume conjecture holds.

Keywords

Cite

@article{arxiv.0805.0094,
  title  = {The volume conjecture for augmented knotted trivalent graphs},
  author = {Roland van der Veen},
  journal= {arXiv preprint arXiv:0805.0094},
  year   = {2014}
}

Comments

28 pages, 14 figures Corrected typos, added corollary about arithmeticity

R2 v1 2026-06-21T10:36:34.233Z