Bipyramid Volume, Mahler Measure and Some $\mathbb{Z}^2$-periodic Links
Geometric Topology
2022-03-11 v2 Combinatorics
Abstract
Champanerkar, Kofman and Lal\'{i}n conjectured an inequality between bipyramid volume of links and Mahler measure of associated dimer models induced from alternating links on torus. Hyperbolic volume and Mahler measure can be related for isoradial graphs, which allows us to confirm the conjecture for two examples. By exploiting a connection between perfect matchings of dimer models and spanning trees on lattices, five more examples are calculated.
Keywords
Cite
@article{arxiv.2202.10218,
title = {Bipyramid Volume, Mahler Measure and Some $\mathbb{Z}^2$-periodic Links},
author = {Hong-Chuan Gan},
journal= {arXiv preprint arXiv:2202.10218},
year = {2022}
}
Comments
An error is corrected