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Constructing lens spaces by surgery on knots. (English) Zbl 0425.57001

MSC:
57M25 Knots and links in the \(3\)-sphere (MSC2010)
57N10 Topology of general \(3\)-manifolds (MSC2010)
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References:
[1] Bailey, J., Rolfsen, D.: An unexpected surgery construction of a lens space. Pacific J. Math.71, 295-298 (1977). · Zbl 0349.55004
[2] Birman, J., Gonzales-Acuña, F., Montesinos, J.: Heegard splittings of prime 3-manifolds are not unique. Michigan J. Math.23, 97-103 (1976). · Zbl 0321.57004
[3] Goldsmith, D.: Symmetric fibered links. In: Knots, Groups, and 3-Manifolds, (L.P. Neuwirth Ed.), pp. 3-23. Annals of Mathematics Studies,84, Princeton: Princeton University Press 1975
[4] Moser, L.: Elementary surgery along a torus knot. Pacific J. Math.38, 737-745 (1971). · Zbl 0202.54701
[5] Kirby, R.: A calculus for framed links inS 3. Invent. Math.45, 35-56 (1978). · Zbl 0377.55001
[6] Neumann, W., Raymond, F.: Seifert manifolds, plumbing, ?-invariant, and orientation-reversing maps. In: Algebraic and Geometric Topology, Proceedings of a Symposium (Santa Barbara 1977), pp. 163-196. Lecture Notes in Mathematics664. Berlin-Heidelberg-New York: Springer 1978 · Zbl 0401.57018
[7] Neuzil, J.: Surgery on a curve in a solid torus. Trans. Amer. Math. Soc.204, 385-406 (1975). · Zbl 0306.55003
[8] Rolfsen, D.: Knots and Links. Boston: Publish or Perish 1976 · Zbl 0339.55004
[9] Scharf, A.: Faserungen von Graphenmannigfaltigkeiten. Math. Ann.215, 35-45 (1975) · Zbl 0293.57001
[10] Thurston, W.: The Geometry and Topology of 3-Manifolds. Mimeographed notes. Princeton University 1978
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