Volume 3, issue 2 (2003)

Download this article
For printing
Recent Issues

Volume 24, 1 issue

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
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
Thin presentation of knots and lens spaces

A Deruelle and D Matignon

Algebraic & Geometric Topology 3 (2003) 677–707
Bibliography
1 D Bachman, Non-parallel essential surfaces in knots complements, preprint
2 J Bailey, D Rolfsen, An unexpected surgery construction of a lens space, Pacific J. Math. 71 (1977) 295 MR0488061
3 J Berge, Some knots with surgeries yielding lens spaces, preprint
4 J Berge, The knots in $D^2\times S^1$ which have nontrivial Dehn surgeries that yield $D^2\times S^1$, Topology Appl. 38 (1991) 1 MR1093862
5 R H Bing, An alternative proof that 3–manifolds can be triangulated, Ann. of Math. $(2)$ 69 (1959) 37 MR0100841
6 S A Bleiler, R A Litherland, Lens spaces and Dehn surgery, Proc. Amer. Math. Soc. 107 (1989) 1127 MR984783
7 J Cerf, Sur les difféomorphismes de la sphère de dimension trois $(\Gamma_{4}=0)$, Lecture Notes in Mathematics 53, Springer (1968) MR0229250
8 M Culler, C M Gordon, J Luecke, P B Shalen, Dehn surgery on knots, Ann. of Math. $(2)$ 125 (1987) 237 MR881270
9 A Deruelle, Conjecture de $\mathbb{RP}^3$ et n\oeuds minimalemant tressés, preprint
10 M Domergue, Dehn surgery on a knot and real 3–projective space, from: "Progress in knot theory and related topics", Travaux en Cours 56, Hermann (1997) 3 MR1603669
11 M Domergue, D Matignon, Minimising the boundaries of punctured projective planes in $S^3$, J. Knot Theory Ramifications 10 (2001) 415 MR1825966
12 M Eudave-Muñoz, Incompressible surfaces in tunnel number one knot complements, Topology Appl. 98 (1999) 167 MR1719999
13 M Eudave-Muñoz, Incompressible surfaces and $(1,1)$–knots, J. Knot Theory Ramifications 15 (2006) 935 MR2251034
14 R Fintushel, R J Stern, Constructing lens spaces by surgery on knots, Math. Z. 175 (1980) 33 MR595630
15 D Gabai, Foliations and the topology of 3–manifolds III, J. Differential Geom. 26 (1987) 479 MR910018
16 D Gabai, Surgery on knots in solid tori, Topology 28 (1989) 1 MR991095
17 H Goda, M Teragaito, Dehn surgeries on knots which yield lens spaces and genera of knots, Math. Proc. Cambridge Philos. Soc. 129 (2000) 501 MR1780501
18 C M Gordon, Combinatorial methods in Dehn surgery, from: "Lectures at KNOTS '96 (Tokyo)", Ser. Knots Everything 15, World Sci. Publ., River Edge, NJ (1997) 263 MR1474525
19 C M Gordon, Dehn surgery on knots, from: "Proceedings of the International Congress of Mathematicians, Vol. I, II (Kyoto, 1990)", Math. Soc. Japan (1991) 631 MR1159250
20 C M Gordon, Dehn surgery and satellite knots, Trans. Amer. Math. Soc. 275 (1983) 687 MR682725
21 C M Gordon, R A Litherland, Incompressible planar surfaces in 3–manifolds, Topology Appl. 18 (1984) 121 MR769286
22 C M Gordon, J Luecke, Knots are determined by their complements, J. Amer. Math. Soc. 2 (1989) 371 MR965210
23 C M Gordon, J Luecke, Reducible manifolds and Dehn surgery, Topology 35 (1996) 385 MR1380506
24 D J Heath, T Kobayashi, Essential tangle decomposition from thin position of a link, Pacific J. Math. 179 (1997) 101 MR1452527
25 J A Hoffman, D Matignon, Producing essential 2–spheres, Topology Appl. 124 (2002) 435 MR1930654
26 K Ichihara, Exceptional surgeries and genera of knots, Proc. Japan Acad. Ser. A Math. Sci. 77 (2001) 66 MR1829376
27 W B R Lickorish, A representation of orientable combinatorial 3–manifolds, Ann. of Math. $(2)$ 76 (1962) 531 MR0151948
28 J Luecke, Dehn surgery on knots in the 3–sphere, from: "Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Zürich, 1994)", Birkhäuser (1995) 585 MR1403959
29 S V Matveev, Complexity theory of three-dimensional manifolds, Acta Appl. Math. 19 (1990) 101 MR1074221
30 D Matignon, N Sayari, Longitudinal slope and Dehn fillings, Hiroshima Math. J. 33 (2003) 127 MR1966655
31 E E Moise, Affine structures in 3–manifolds III: Tubular neighborhoods of linear graphs, Ann. of Math. $(2)$ 55 (1952) 203 MR0046643
32 L Moser, Elementary surgery along a torus knot, Pacific J. Math. 38 (1971) 737 MR0383406
33 L P Neuwirth, Knot groups, Annals of Mathematics Studies 56, Princeton University Press (1965) MR0176462
34 W Parry, All types implies torsion, Proc. Amer. Math. Soc. 110 (1990) 871 MR1039537
35 Y Rieck, E Sedgwick, Thin position for a connected sum of small knots, Algebr. Geom. Topol. 2 (2002) 297 MR1917054
36 D Rolfsen, Knots and links, Mathematics Lecture Series 7, Publish or Perish (1976) MR0515288
37 M Scharlemann, A Thompson, Heegaard splittings of $(\mathrm{surface})\times I$ are standard, Math. Ann. 295 (1993) 549 MR1204837
38 M Teragaito, Cyclic surgery on genus one knots, Osaka J. Math. 34 (1997) 145 MR1439002
39 A Thompson, Thin position and the recognition problem for $S^3$, Math. Res. Lett. 1 (1994) 613 MR1295555
40 A Thompson, Thin position and bridge number for knots in the 3–sphere, Topology 36 (1997) 505 MR1415602
41 A H Wallace, Modifications and cobounding manifolds, Canad. J. Math. 12 (1960) 503 MR0125588
42 S C Wang, Cyclic surgery on knots, Proc. Amer. Math. Soc. 107 (1989) 1091 MR984820
43 Y Q Wu, Cyclic surgery and satellite knots, Topology Appl. 36 (1990) 205 MR1070700
44 Y Q Wu, The reducibility of surgered 3–manifolds, Topology Appl. 43 (1992) 213 MR1158868
45 Y Q Wu, Thin position and essential planar surfaces, Proc. Amer. Math. Soc. 132 (2004) 3417 MR2073319