Algebraic & Geometric Topology Volume 16, issue 1 (2016)

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ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

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Bridge number and integral Dehn surgery

Kenneth L Baker, Cameron Gordon and John Luecke

Algebraic & Geometric Topology 16 (2016) 1–40

DOI: 10.2140/agt.2016.16.1

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