Rank two free groups and integer points on real cubic surfaces
arXiv:2003.05967
Abstract
Counting integer points on the Markoff cubic is closely related to questions in hyperbolic geometry. In a previous work with Igor Rivin we investigated the regularity of the geodesic length function for a punctured torus. Here we extend this work to the three holed sphere and related orbifolds.
21 pages, 15 figures