Geometry & Topology
- Geom. Topol.
- Volume 21, Number 4 (2017), 2243-2280.
Collar lemma for Hitchin representations
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 and on a closed orientable hyperbolizable surface intersect each other, then there is an explicit lower bound for the length of in terms of the length of , 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.
Geom. Topol., Volume 21, Number 4 (2017), 2243-2280.
Received: 22 December 2015
Revised: 10 July 2016
Accepted: 8 August 2016
First available in Project Euclid: 19 October 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 57M50: Geometric structures on low-dimensional manifolds
Secondary: 30F60: Teichmüller theory [See also 32G15] 32G15: Moduli of Riemann surfaces, Teichmüller theory [See also 14H15, 30Fxx]
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