Collar lemma for Hitchin representations

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Abstract:

There is a classical result known as the collar lemma for hyperbolic surfaces. A consequence of the collar lemma is that if two closed curves A and B on a closed orientable hyperbolizable surface intersect each other, then there is an explicit lower bound for the length of A in terms of the length of B, which holds for every hyperbolic structure on the surface. In this article, we prove an analog of the classical collar lemma in the setting of Hitchin representations.

SEEK ID: https://publications.h-its.org/publications/985

DOI: 10.2140/gt.2017.21.2243

Research Groups: Groups and Geometry

Publication type: Journal

Journal: Geom. Topol.

Citation: Geom. Topol. 21(4):2243-2280

Date Published: 2017

URL: https://msp.org/gt/2017/21-4/p08.xhtml

Registered Mode: imported from a bibtex file

Authors: Gye-Seon Lee, Tengren Zhang

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Lukas Sauer

Citation

Lee, G.-S., & Zhang, T. (2017). Collar lemma for Hitchin representations. In Geometry & Topology (Vol. 21, Issue 4, pp. 2243–2280). Mathematical Sciences Publishers. https://doi.org/10.2140/gt.2017.21.2243

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Created: 30th Jan 2020 at 10:15

Last updated: 5th Mar 2024 at 21:24

Collar lemma for Hitchin representations

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