Volume 16, issue 1 (2016)

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

Volume 25
Issue 3, 1265–1915
Issue 2, 645–1264
Issue 1, 1–644

Volume 24, 9 issues

Volume 23, 9 issues

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
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1472-2739 (online)
ISSN 1472-2747 (print)
Author Index
To Appear
 
Other MSP Journals
Bridge number and integral Dehn surgery

Kenneth L Baker, Cameron Gordon and John Luecke

Algebraic & Geometric Topology 16 (2016) 1–40
Bibliography
1 K L Baker, C Gordon, J Luecke, Obtaining genus-2 Heegaard splittings from Dehn surgery, Algebr. Geom. Topol. 13 (2013) 2471 MR3116298
2 K L Baker, C Gordon, J Luecke, Bridge number, Heegaard genus and non-integral Dehn surgery, Trans. Amer. Math. Soc. 367 (2015) 5753 MR3347189
3 M Culler, N M Dunfield, J R Weeks, SnapPy, a computer program for studying the geometry and topology of 3–manifolds
4 M Culler, C M Gordon, J Luecke, P B Shalen, Dehn surgery on knots, Bull. Amer. Math. Soc. 13 (1985) 43 MR788388
5 D Gabai, Foliations and the topology of 3–manifolds, III, J. Differential Geom. 26 (1987) 479 MR910018
6 C M Gordon, Boundary slopes of punctured tori in 3–manifolds, Trans. Amer. Math. Soc. 350 (1998) 1713 MR1390037
7 A Hatcher, Notes on basic 3–manifold topology (2007)
8 C Hodgson, J H Rubinstein, Involutions and isotopies of lens spaces, from: "Knot theory and manifolds" (editor D Rolfsen), Lecture Notes in Math. 1144, Springer (1985) 60 MR823282
9 A Kawauchi, A survey of knot theory, Birkhäuser (1996) MR1417494
10 D Kim, J Lee, Some invariants of pretzel links, Bull. Austral. Math. Soc. 75 (2007) 253 MR2312569
11 T Kobayashi, Structures of the Haken manifolds with Heegaard splittings of genus two, Osaka J. Math. 21 (1984) 437 MR752472
12 T Mattman, K Miyazaki, K Motegi, Seifert-fibered surgeries which do not arise from primitive/Seifert-fibered constructions, Trans. Amer. Math. Soc. 358 (2006) 4045 MR2219009
13 Y Moriah, J Schultens, Irreducible Heegaard splittings of Seifert fibered spaces are either vertical or horizontal, Topology 37 (1998) 1089 MR1650355
14 J K Osoinach Jr., Manifolds obtained by surgery on an infinite number of knots in S3, Topology 45 (2006) 725 MR2236375
15 M Scharlemann, Sutured manifolds and generalized Thurston norms, J. Differential Geom. 29 (1989) 557 MR992331
16 E Sedgwick, The irreducibility of Heegaard splittings of Seifert fibered spaces, Pacific J. Math. 190 (1999) 173 MR1722770
17 M Teragaito, A Seifert fibered manifold with infinitely many knot-surgery descriptions, Int. Math. Res. Not. 2007 (2007) MR2347296