Volume 11, issue 2 (2011)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 17
Issue 6, 3213–3852
Issue 5, 2565–3212
Issue 4, 1917–2564
Issue 3, 1283–1916
Issue 2, 645–1281
Issue 1, 1–643

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Subscriptions
Editorial Board
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Author Index
To Appear
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Short geodesics in hyperbolic $3$–manifolds

William Breslin

Algebraic & Geometric Topology 11 (2011) 735–745
Abstract

For each g 2, we prove existence of a computable constant ϵ(g) > 0 such that if S is a strongly irreducible Heegaard surface of genus g in a complete hyperbolic 3–manifold M and γ is a simple geodesic of length less than ϵ(g) in M, then γ is isotopic into S.

Keywords
Heegaard surface, hyperbolic $3$–manifold, geodesic
Mathematical Subject Classification 2000
Primary: 57M50
References
Publication
Received: 24 May 2010
Revised: 14 January 2011
Accepted: 15 January 2011
Published: 12 March 2011
Authors
William Breslin
Department of Mathematics
University of Michigan
530 Church Street
Ann Arbor MI 48109-1043
USA
http://www-personal.umich.edu/~breslin/index.html