The Volume-Determinant conjecture for highly twisted links
Organizers
Speaker
Andrei Vesnin
Time
Thursday, December 25, 2025 2:00 PM - 3:00 PM
Venue
A3-4-101
Online
Zoom 928 682 9093
(BIMSA)
Abstract
The Vol-Det Conjecture, stated by Champanerkar, Kofman and Purcell, says that there exists a specific inequality connecting volume and determinant of an alternating hyperbolic link. It is known that the conjecture holds for all alternating hyperbolic knots with at most 16 crossings, 2-bridge links, closures of 3-strand braids, etc. We consider the class of links admitting reduced diagrams with more than eight twists. It will be shown that under some inequality on number of twists and number of crossings of a link diagram, the Vol-Det conjecture holds.