Volume 3, issue 1 (2003)

Download this article
For printing
Recent Issues

Volume 25
Issue 7, 3789–4436
Issue 6, 3145–3787
Issue 5, 2527–3144
Issue 4, 1917–2526
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
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
 
Author index
To appear
 
Other MSP journals
Small Seifert-fibered Dehn surgery on hyperbolic knots

John C Dean

Algebraic & Geometric Topology 3 (2003) 435–472
Bibliography
1 I Agol, Topology of hyperbolic 3–manifolds, PhD thesis, University of California, San Diego (1998)
2 J Berge, Some knots with surgeries yielding lens spaces, unpublished manuscript
3 S A Bleiler, C D Hodgson, Spherical space forms and Dehn filling, Topology 35 (1996) 809 MR1396779
4 M Boileau, M Rost, H Zieschang, On Heegaard decompositions of torus knot exteriors and related Seifert fibre spaces, Math. Ann. 279 (1988) 553 MR922434
5 S Boyer, X Zhang, Finite Dehn surgery on knots, J. Amer. Math. Soc. 9 (1996) 1005 MR1333293
6 M Brittenham, Y Q Wu, The classification of exceptional Dehn surgeries on 2–bridge knots, Comm. Anal. Geom. 9 (2001) 97 MR1807953
7 M Cohen, W Metzler, A Zimmermann, What does a basis of $F(a, b)$ look like?, Math. Ann. 257 (1981) 435 MR639577
8 D J Collins, Presentations of the amalgamated free product of two infinite cycles, Math. Ann. 237 (1978) 233 MR508754
9 M Culler, C M Gordon, J Luecke, P B Shalen, Dehn surgery on knots, Ann. of Math. $(2)$ 125 (1987) 237 MR881270
10 J Dean, Hyperbolic knots with small Seifert-fibered Dehn surgeries, PhD thesis, University of Texas at Austin (1996)
11 M Eudave-Muñoz, On hyperbolic knots with Seifert fibered Dehn surgeries, preprint
12 M Eudave Muñoz, Nonhyperbolic manifolds obtained through surgery on hyperbolic knots, from: "XXVth National Congress of the Mexican Mathematical Society, Vol. I (Spanish) (Xalapa, 1992)", Aportaciones Mat. Comun. 12, Soc. Mat. Mexicana (1993) 145 MR1304712
13 R Fintushel, R J Stern, Constructing lens spaces by surgery on knots, Math. Z. 175 (1980) 33 MR595630
14 F González-Acuña, H Short, Knot surgery and primeness, Math. Proc. Cambridge Philos. Soc. 99 (1986) 89 MR809502
15 C M Gordon, J Luecke, Knots are determined by their complements, J. Amer. Math. Soc. 2 (1989) 371 MR965210
16 M Lackenby, Word hyperbolic Dehn surgery, Invent. Math. 140 (2000) 243 MR1756996
17 W B R Lickorish, A representation of orientable combinatorial 3–manifolds, Ann. of Math. $(2)$ 76 (1962) 531 MR0151948
18 T Mattman, K Miyazaki, K Motegi, Seifert fibered surgeries which do not arise from primitive Seifert-fibered constructions, preprint
19 K Miyazaki, K Motegi, Seifert fibred manifolds and Dehn surgery, Topology 36 (1997) 579 MR1415607
20 K Miyazaki, K Motegi, Seifert fibered manifolds and Dehn surgery III, Comm. Anal. Geom. 7 (1999) 551 MR1698388
21 L Moser, Elementary surgery along a torus knot, Pacific J. Math. 38 (1971) 737 MR0383406
22 R P Osborne, H Zieschang, Primitives in the free group on two generators, Invent. Math. 63 (1981) 17 MR608526
23 J R Stallings, Constructions of fibred knots and links, from: "Algebraic and geometric topology (Proc. Sympos. Pure Math., Stanford Univ., Stanford, Calif., 1976), Part 2", Proc. Sympos. Pure Math., XXXII, Amer. Math. Soc. (1978) 55 MR520522
24 F Waldhausen, Gruppen mit Zentrum und 3–dimensionale Mannigfaltigkeiten, Topology 6 (1967) 505 MR0236930
25 A H Wallace, Modifications and cobounding manifolds, Canad. J. Math. 12 (1960) 503 MR0125588
26 H Zieschang, On simple systems of paths on complete pretzels, Amer. Math. Soc. Transl. 92 (1970) 127
27 H Zieschang, Generators of the free product with amalgamation of two infinite cyclic groups, Math. Ann. 227 (1977) 195 MR0444782