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
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
Views: 5925
Created: 30th Jan 2020 at 10:15
Last updated: 5th Mar 2024 at 21:24
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