Cyclic surfaces and Hitchin components in rank 2
成果类型：
Article
署名作者：
Labourie, Francois
刊物名称：
ANNALS OF MATHEMATICS
ISSN/ISSBN：
0003-486X
DOI：
10.4007/annals.2017.185.1.1
发表日期：
2017
页码：
1-58
关键词：
摘要：
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 Teichm\uller 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.