## Geometry & Topology

### Collar lemma for Hitchin representations

#### 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.

#### Article information

Source
Geom. Topol., Volume 21, Number 4 (2017), 2243-2280.

Dates
Revised: 10 July 2016
Accepted: 8 August 2016
First available in Project Euclid: 19 October 2017

https://projecteuclid.org/euclid.gt/1508437641

Digital Object Identifier
doi:10.2140/gt.2017.21.2243

Mathematical Reviews number (MathSciNet)
MR3654108

Zentralblatt MATH identifier
1367.57010

#### Citation

Lee, Gye-Seon; Zhang, Tengren. Collar lemma for Hitchin representations. Geom. Topol. 21 (2017), no. 4, 2243--2280. doi:10.2140/gt.2017.21.2243. https://projecteuclid.org/euclid.gt/1508437641

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