Geometry & Topology Volume 28, issue 3 (2024)

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Zariski dense surface groups in $\mathrm{SL}(2k+1,\mathbb{Z})$

D Darren Long and Morwen B Thistlethwaite

Geometry & Topology 28 (2024) 1153–1166

DOI: 10.2140/gt.2024.28.1153

Abstract

We show that for all $k$ , $SL (2 k + 1, ℤ)$ contains surface groups which are Zariski dense in $SL (2 k + 1, ℝ)$ .

Keywords

surface groups, integral representations, Hitchin component, Zariski dense

Mathematical Subject Classification

Primary: 22E40

Secondary: 20C15, 20H10

References

Publication

Received: 21 July 2021

Accepted: 17 August 2022

Published: 10 May 2024

Proposed: Anna Wienhard

Seconded: Martin R Bridson, Mladen Bestvina

Authors

D Darren Long
Department of Mathematics University of California, Santa Barbara Santa Barbara, CA United States

Morwen B Thistlethwaite
Department of Mathematics University of Tennessee Knoxville, TN United States

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