Volume 7, issue 4 (2007)

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

Volume 22
Issue 6, 2533–3057
Issue 5, 2007–2532
Issue 4, 1497–2006
Issue 3, 991–1495
Issue 2, 473–990
Issue 1, 1–472

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
Lens spaces obtainable by surgery on doubly primitive knots

Kazuhiro Ichihara and Toshio Saito

Algebraic & Geometric Topology 7 (2007) 1949–1962
Bibliography
1 J Berge, Some knots with surgeries yielding lens spaces, unpublished manuscript
2 S A Bleiler, R A Litherland, Lens spaces and Dehn surgery, Proc. Amer. Math. Soc. 107 (1989) 1127 MR984783
3 G E Bredon, J W Wood, Non-orientable surfaces in orientable 3–manifolds, Invent. Math. 7 (1969) 83 MR0246312
4 G Burde, H Zieschang, Knots, de Gruyter Studies in Mathematics 5, Walter de Gruyter & Co. (1985) MR808776
5 R Fintushel, R J Stern, Constructing lens spaces by surgery on knots, Math. Z. 175 (1980) 33 MR595630
6 T Homma, M Ochiai, On relations of Heegaard diagrams and knots, Math. Sem. Notes Kobe Univ. 6 (1978) 383 MR512641
7 R Kirby, Problems in low-dimensional topology, from: "Geometric topology (Athens, GA, 1993)" (editor R Kirby), AMS/IP Stud. Adv. Math. 2, Amer. Math. Soc. (1997) 35 MR1470751
8 J M Montesinos, Surgery on links and double branched covers of $S^{3}$, from: "Knots, groups, and 3–manifolds (Papers dedicated to the memory of R. H. Fox)" (editor L P Neuwirth), Ann. of Math. Studies 84, Princeton Univ. Press (1975) 227 MR0380802
9 L Moser, Elementary surgery along a torus knot, Pacific J. Math. 38 (1971) 737 MR0383406
10 T Saito, The dual knots of doubly primitive knots, to appear in Osaka J. Math.
11 T Saito, Knots in lens spaces with the 3–sphere surgery, preprint
12 T Saito, Dehn surgery and $(1,1)$–knots in lens spaces, Topology Appl. 154 (2007) 1502 MR2310483
13 S C Wang, Cyclic surgery on knots, Proc. Amer. Math. Soc. 107 (1989) 1091 MR984820
14 Y Q Wu, Cyclic surgery and satellite knots, Topology Appl. 36 (1990) 205 MR1070700