Rank two free groups and integer points on real cubic surfaces
Geometric Topology
2020-03-16 v1 Differential Geometry
Dynamical Systems
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.
Keywords
Cite
@article{arxiv.2003.05967,
title = {Rank two free groups and integer points on real cubic surfaces},
author = {Greg McShane},
journal= {arXiv preprint arXiv:2003.05967},
year = {2020}
}
Comments
21 pages, 15 figures