Geodesic
Cyclic surgery on satellite knots
Glasgow mathematical journal, Tome 33 (1991) no. 2, pp. 125-128

Voir la notice de l'article provenant de la source Cambridge University Press

In [9] L. Moser classified all manifolds obtained by Dehn surgery on torus knots. In particular she proved the following (see also [8, Chapter IV]).Theorem 1 [9]. Nontrivial surgery with slope m/n on a nontrivial torus knot T(p, q) gives a manifold with cyclic fundamental group iff m = npq ± 1 and the manifold obtained is the lens space L(m, nq2). 
Zhang, Xingru. Cyclic surgery on satellite knots. Glasgow mathematical journal, Tome 33 (1991) no. 2, pp. 125-128. doi: 10.1017/S0017089500008144
@article{10_1017_S0017089500008144,
     author = {Zhang, Xingru},
     title = {Cyclic surgery on satellite knots},
     journal = {Glasgow mathematical journal},
     pages = {125--128},
     year = {1991},
     volume = {33},
     number = {2},
     doi = {10.1017/S0017089500008144},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500008144/}
}
TY  - JOUR
AU  - Zhang, Xingru
TI  - Cyclic surgery on satellite knots
JO  - Glasgow mathematical journal
PY  - 1991
SP  - 125
EP  - 128
VL  - 33
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089500008144/
DO  - 10.1017/S0017089500008144
ID  - 10_1017_S0017089500008144
ER  - 
%0 Journal Article
%A Zhang, Xingru
%T Cyclic surgery on satellite knots
%J Glasgow mathematical journal
%D 1991
%P 125-128
%V 33
%N 2
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089500008144/
%R 10.1017/S0017089500008144
%F 10_1017_S0017089500008144

[1] 1.Bailey, J. and Rolfsen, D., An unexpected surgery construction of a lens space. Pacific J. Math. 71 (1977), 295–298. Google Scholar | DOI

[2] 2.Bleiler, S. and Litherland, R., Lens spaces and Dehn surgery, Proc. Amer. Math. Soc. 107 (1989), 1091–1094. Google Scholar | DOI

[3] 3.Culler, M., Gordon, C., Luecke, J. and Shalen, P., Dehn surgery on knots, Ann. of Math. (2) 125 (1987), 237–300. Google Scholar | DOI

[4] 4.Fintushel, R. and Stern, R., Constructing lens spaces by surgery on knots, Math. Z. 175 (1980), 33–51. Google Scholar | DOI

[5] 5.Gabai, D., Surgery on knots in solid tori, Topology 28 (1989), 1–6. Google Scholar | DOI

[6] 6.Gabai, D., 1-bridge braids in solid tori, preprint. Google Scholar

[7] 7.Gordon, C., Dehn surgery and satellite knots, Trans. Amer. Math. Soc. 275 (1983), 687–708. Google Scholar | DOI

[8] 8.Jaco, W., Lectures on 3-manifold topology, Regional Conference Series in Mathematics 43 (A.M.S., 1980). Google Scholar | DOI

[9] 9.Moser, L., Elementary surgery along a torus knot, Pacific J. Math. 38 (1971), 737–745. Google Scholar | DOI

[10] 10.Scharlemann, M., Producing reducible 3-manifolds by surgery on a knot, preprint. Google Scholar

[11] 11.Wang, S., Cyclic surgery on knots, Proc. Amer. Math. Soc. 107 (1989), 1127–1131. Google Scholar | DOI

[12] 12.Wu, Y., Cyclic surgery and satellite knots, preprint. Google Scholar

Cité par Sources :