Dominating surface-group representations into PSL 2(C) in the relative representation variety

Gupta, S and Su, W (2022) Dominating surface-group representations into PSL 2(C) in the relative representation variety. In: Manuscripta Mathematica .

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Abstract

Let ρ be a representation of the fundamental group of a punctured surface into PSL 2(C) that is not Fuchsian. We prove that there exists a Fuchsian representation that strictly dominates ρ in the simple length spectrum, and preserves the boundary lengths. This extends a result of Gueritaud-Kassel-Wolff to the case of PSL 2(C) -representations. Our proof involves straightening the pleated plane in H3 determined by the Fock-Goncharov coordinates of a framed representation, and applying strip-deformations. © 2022, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature

Item Type:	Journal Article
Publication:	Manuscripta Mathematica
Publisher:	Springer Science and Business Media Deutschland GmbH
Additional Information:	The copyright for this article belongs to Springer Science and Business Media Deutschland GmbH.
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	22 Jan 2023 06:53
Last Modified:	22 Jan 2023 06:53
URI:	https://eprints.iisc.ac.in/id/eprint/79229

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