Simple root flows for Hitchin representations
classification
🧮 math.DG
math.GT
keywords
liouvillehitchinrootsimpleflowsrepresentationsassociatedcomponent
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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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