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.

Locations

• arXiv (Cornell University) - View - PDF
• Project Euclid (Cornell University) - View - PDF
• CaltechAUTHORS (California Institute of Technology) - View - PDF
• DataCite API - View
• Geometry & Topology - View