Translator Disclaimer
1 December 2009 Connectivity of the space of ending laminations
Christopher J. Leininger, Saul Schleimer
Author Affiliations +
Duke Math. J. 150(3): 533-575 (1 December 2009). DOI: 10.1215/00127094-2009-059

Abstract

We prove that for any closed surface of genus at least four, and any punctured surface of genus at least two, the space of ending laminations is connected. A theorem of E. Klarreich [28, Theorem 1.3] implies that this space is homeomorphic to the Gromov boundary of the complex of curves. It follows that the boundary of the complex of curves is connected in these cases, answering the conjecture of P. Storm. Other applications include the rigidity of the complex of curves and connectivity of spaces of degenerate Kleinian groups

Citation

Download Citation

Christopher J. Leininger. Saul Schleimer. "Connectivity of the space of ending laminations." Duke Math. J. 150 (3) 533 - 575, 1 December 2009. https://doi.org/10.1215/00127094-2009-059

Information

Published: 1 December 2009
First available in Project Euclid: 27 November 2009

zbMATH: 1190.57013
MathSciNet: MR2582104
Digital Object Identifier: 10.1215/00127094-2009-059

Subjects:
Primary: 57M50
Secondary: 20F67, 30F60, 32G15

Rights: Copyright © 2009 Duke University Press

JOURNAL ARTICLE
43 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.150 • No. 3 • 1 December 2009
Back to Top