arXiv subjects

Yusuke Inagaki

Publications and source records attributed to Yusuke Inagaki.

2 recordsLinked to original sources

arXiv2019

Invariants of PSL(n,R)-Fuchsian representations and a slice of Hitchin components

In this paper we show some properties of triangle invariants and shearing invariants of PSL(n,R)-Fuchsian representations. Moreover, using the Bonahon-Dreyer parameterization, we show that the Fuchsian locus of Hitchin components corresponds to a slice.

math.GT↗

arXiv2018

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

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

math.GT↗