A volumish theorem for alternating virtual links

Ilya Kofman (CUNY)

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 of a link in a thickened surface in terms of coefficients of its reduced Jones-Krushkal polynomial. Joint work with Abhijit Champanerkar.

References:

Champanerkar, Abhijit and Kofman, Ilya, “A volumish theorem for alternating virtual links”, https://arxiv.org/abs/2010.08499