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Journal articles
CYCLIC SURFACES AND HITCHIN COMPONENTS IN RANK 2
Abstract : We prove that given a Hitchin representation in a real split rank 2 group G 0 , there exists a unique equivariant minimal surface in the corresponding symmetric space. As a corollary, we obtain a parametrization of the Hitchin components by a Hermitian bundle over Teichmüller space. The proof goes through introducing holomorphic curves in a suitable bundle over the symmetric space of G 0. Some partial extensions of the construction hold for cyclic bundles in higher rank.
Cited literature [31 references]
https://hal.univ-cotedazur.fr/hal-01329436
Contributor : Jean-Louis Thomin <>
Submitted on : Thursday, June 9, 2016 - 2:40:28 PM
Last modification on : Monday, October 12, 2020 - 2:28:06 PM
Contributor : Jean-Louis Thomin <>
Submitted on : Thursday, June 9, 2016 - 2:40:28 PM
Last modification on : Monday, October 12, 2020 - 2:28:06 PM
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Rank2Minimal.pdf
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