On Fuchsian loci of PSL(n,R)-Hitchin components of a pair of pants

Abstract

In this paper, we study Fuchsian loci of ${\mathrm{PSL}}_n(\mathbb{R})$-Hitchin components. In particular, using the Bonahon-Dreyer parametrization of ${\mathrm{PSL}}_n(\mathbb{R})$-Hitchin components, we give an explicit parametrization of Fuchsian loci of a pair of pants.

27 pages, 7 figures