Simple root flows for Hitchin representations
Differential Geometry
2017-11-28 v2 Geometric Topology
Abstract
We study simple root flows and Liouville currents for Hitchin representations. We show that the Liouville current is associated to the measure of maximal entropy for a simple root flow, derive a Liouville volume rigidity result, and construct a Liouville pressure metric on the Hitchin component.
Cite
@article{arxiv.1708.01675,
title = {Simple root flows for Hitchin representations},
author = {Martin Bridgeman and Richard Canary and François Labourie and Andres Sambarino},
journal= {arXiv preprint arXiv:1708.01675},
year = {2017}
}
Comments
Dedicated to Bill Goldman on the occasion of his 60th birthday