A formula for the volume of two-bridge knots
arXiv:2403.07133
Abstract
We give a closed formula for the volume of a two-bridge knot, more precisely for its Bloch invariant. We obtain this formula without triangulating the complement: instead, we derive it from the Hopf formula for the second homology of the fundamental group of the complement and a systematic use of Fox derivatives.
13 pages, 2 figures