Simple Length Rigidity for Hitchin Representations
Geometric Topology
2018-05-22 v2 Differential Geometry
Abstract
We show that a Hitchin representation is determined by the spectral radii of the images of simple, non-separating closed curves. As a consequence, we classify isometries of the intersection function on Hitchin components of dimension 3 and on the self-dual Hitchin components in all dimensions. As an important tool in the proof, we establish a transversality result for positive quadruples of flags.
Cite
@article{arxiv.1703.07336,
title = {Simple Length Rigidity for Hitchin Representations},
author = {Martin Bridgeman and Richard Canary and François Labourie},
journal= {arXiv preprint arXiv:1703.07336},
year = {2018}
}
Comments
48 pages, 7 figures