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arXiv · 1708.01675

Simple root flows for Hitchin representations

Martin Bridgeman·Richard Canary·François Labourie·Andres Sambarino
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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.

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Martin Bridgeman, Richard Canary, François Labourie, Andres Sambarino. 2017-08-04. Simple root flows for Hitchin representations. https://arxiv.org/abs/1708.01675

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