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Simple Length Rigidity for Hitchin Representations

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.
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https://hal.archives-ouvertes.fr/hal-01654568
Contributor : François Labourie <>
Submitted on : Monday, December 4, 2017 - 10:36:21 AM
Last modification on : Monday, October 12, 2020 - 2:28:06 PM

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  • HAL Id : hal-01654568, version 1
  • ARXIV : 1703.07336

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Martin Bridgeman, Richard Canary, François Labourie. Simple Length Rigidity for Hitchin Representations. 2017. ⟨hal-01654568⟩

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