Volume 5, issue 1 (2005)

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

Volume 23
Issue 7, 2925–3415
Issue 6, 2415–2924
Issue 5, 1935–2414
Issue 4, 1463–1934
Issue 3, 963–1462
Issue 2, 509–962
Issue 1, 1–508

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

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
Editorial Board
Editorial Interests
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Author Index
To Appear
 
Other MSP Journals
All integral slopes can be Seifert fibered slopes for hyperbolic knots

Kimihiko Motegi and Hyun-Jong Song

Algebraic & Geometric Topology 5 (2005) 369–378

arXiv: math.GT/0505322

Abstract

Which slopes can or cannot appear as Seifert fibered slopes for hyperbolic knots in the 3–sphere S3? It is conjectured that if r–surgery on a hyperbolic knot in S3 yields a Seifert fiber space, then r is an integer. We show that for each integer n , there exists a tunnel number one, hyperbolic knot Kn in S3 such that n–surgery on Kn produces a small Seifert fiber space.

Keywords
Dehn surgery, hyperbolic knot, Seifert fiber space, surgery slopes
Mathematical Subject Classification 2000
Primary: 57M25, 57M50
References
Forward citations
Publication
Received: 10 March 2005
Revised: 25 March 2005
Accepted: 12 April 2005
Published: 30 April 2005
Authors
Kimihiko Motegi
Department of Mathematics
Nihon University
Tokyo 156-8550
Japan
Hyun-Jong Song
Division of Mathematical Sciences
Pukyong National University
599-1 Daeyondong
Namgu
Pusan 608-737
Korea