Bers' constants for punctured spheres and hyperelliptic surfaces
Balacheff, Florent Nicolas (Université de Lille. Laboratoire Paul Painlevé)
Parlier, Hugo (University of Fribourg. Department of Mathematics)

Date:	2012
Abstract:	The main goal of this paper is to present a proof of Buser's conjecture about Bers' constants for spheres with cusps (or marked points) and for hyperelliptic surfaces. More specifically, our main result states that any hyperbolic sphere with n cusps has a pants decomposition with all of its geodesics of length bounded by 30√2π(n-2). Other results include lower and upper bounds for Bers' constants for hyperelliptic surfaces and spheres with boundary geodesics.
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Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Bers' constants ; Riemann surfaces ; Simple closed geodesics ; Teichmüller and moduli spaces
Published in:	Journal of Topology and Analysis, Vol. 4, Num. 3 (September 2012) , p. 271-296, ISSN 1793-7167

DOI: 10.1142/S179352531250015X

Postprint 22 p, 510.2 KB

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