arXiv Analytics

Sign in

arXiv:1904.09760 [math.GT]AbstractReferencesReviewsResources

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

Yusuke Inagaki

Published 2019-04-22Version 1

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.

Comments: 24 pages, 6 figures
Categories: math.GT
Related articles: Most relevant | Search more
arXiv:1501.02504 [math.GT] (Published 2015-01-11)
A class of knots with simple $SU(2)$ representations
arXiv:2111.01614 [math.GT] (Published 2021-11-02, updated 2022-02-12)
Measured foliations at infinity of quasi-Fuchsian manifolds near the Fuchsian locus
arXiv:1605.05917 [math.GT] (Published 2016-05-19)
Volumes of representations and birationality of the peripheral holonomy

Links

Toolbox