52 citations · 261 across the 25 of their papers we have counts for
26 papers
Geometric bounds for spanning tree entropy of planar lattice graphs
Abhijit Champanerkar, Ilya Kofman
We prove infinitely many cases of conjectured sharp upper and lower bounds for the spanning tree entropy of any planar lattice graph. These bounds come from volumes of associated h…
A volumish theorem for alternating virtual links
Abhijit Champanerkar, Ilya Kofman
Dasbach and Lin proved a "volumish theorem" for alternating links. We prove the analogue for alternating link diagrams on surfaces, which provides bounds on the hyperbolic volume o…
Right-angled polyhedra and alternating links
Abhijit Champanerkar, Ilya Kofman, Jessica S. Purcell
To any prime alternating link, we associate a collection of hyperbolic right-angled ideal polyhedra by relating geometric, topological and combinatorial methods to decompose the li…
Turaev Surfaces
Seungwon Kim, Ilya Kofman
An expository article on Turaev surfaces written for "A Concise Encyclopedia of Knot Theory," to appear.
Examples of homological torsion and volume growth
Abhijit Champanerkar, Ilya Kofman
We provide examples of towers of covers of cusped hyperbolic 3-manifolds whose exponential homological torsion growth is explicitly computed in terms of volume growth. These exampl…
Mahler Measure and the Vol-Det Conjecture
Abhijit Champanerkar, Ilya Kofman, Matilde Lalín
The Vol-Det Conjecture relates the volume and the determinant of a hyperbolic alternating link in . We use exact computations of Mahler measures of two-variable polynomials to…