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Collar lemma for Hitchin
representations
Gye-Seon Lee and Tengren Zhang |
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Geometry & Topology 21 (2017) 2243–2280
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Abstract |
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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. |
Keywords
hyperbolic surfaces, convex real projective surfaces,
collar lemma, Hitchin representations
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Mathematical Subject Classification 2010
Primary: 57M50
Secondary: 30F60, 32G15
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References |
Publication
Received: 22 December 2015
Revised: 10 July 2016
Accepted: 8 August 2016
Published: 19 May 2017
Proposed: Ian Agol
Seconded: Simon Donaldson, András I. Stipsicz
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Authors |
| Gye-Seon Lee | |
| Mathematisches Institut Ruprecht-Karls-Universität Heidelberg Im Neuenheimer Feld 205 D-69120 Heidelberg Germany |
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| http://www.mathi.uni-heidelberg.de/~lee/ | |
| Tengren Zhang | |
| Mathematics Department California Institute of Technology Mail Code 253-37 1200 East California Boulevard Pasadena, CA 91125 United States |
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| http://sites.google.com/site/tengren85/ | |
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