Volume 8, issue 3 (2004)

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

Volume 25
Issue 5, 2167–2711
Issue 4, 1631–2166
Issue 3, 1087–1630
Issue 2, 547–1085
Issue 1, 1–546

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Editorial Board
Editorial Interests
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
Author Index
To Appear
 
Other MSP Journals
Lens space surgeries and a conjecture of Goda and Teragaito

Jacob Rasmussen

Geometry & Topology 8 (2004) 1013–1031

arXiv: math.GT/0405114

Abstract

Using work of Ozsváth and Szabó, we show that if a nontrivial knot in S3 admits a lens space surgery with slope p, then p 4g + 3, where g is the genus of the knot. This is a close approximation to a bound conjectured by Goda and Teragaito.

Keywords
lens space surgery, Seifert genus, Heegaard Floer homology
Mathematical Subject Classification 2000
Primary: 57M25
Secondary: 57R58
References
Forward citations
Publication
Received: 13 May 2004
Accepted: 11 July 2004
Published: 7 August 2004
Proposed: Peter Ozsvath
Seconded: Tomasz Mrowka, Peter Kronheimer
Authors
Jacob Rasmussen
Department of Mathematics
Princeton University
Princeton
New Jersey 08544
USA