References
[BGM] Birman, J.S., Gonzales-Acuña, F., Montesinos, J.M.: Heegaard splittings of prime 3-manifolds are not unique. Mich. Math. J.23, 97–103 (1976)
[BH] Birman, J.S., Hilden, H.M.: Heegaard splittings of branched coverings ofS 3. TAMS213, 315–352 (1975)
[BS] Bleiler, S.A., Scharlemann, M.G.: Projective planes in ℝ4 with 3 critical points are standard. MSRI preprint 07112-85
[B] Bleiler, S.A.: Prime triangles and composite knots, Knot theory and manifolds. Rolfsen, D. (ed.) (Lecture Notes Mathematics, Vol. 1144, pp. 1–13). Berlin Heidelberg New York: Springer 1985
[BZ] Burde, G., Zieschang, H.: Knots, de Gruyter Studies in Mathematics,5. Berlin New York: de Gruyter 1985
[BRZ] Boileau, M., Rost, M., Zieschang, H.: On Heegaard decompositions of torus knot exteriors and related Siefert fibred spaces, preprint
[C] Conway, J.H.: An enumeration of knots and links and some of their algebraic properties. In: Leech, J. (ed.). In: Computational problems in abstract algebra, pp. 329–358. Oxford: Pergamon Press 1967
[F] Funcke, K.: Nicht frei aquivalente Darstellungen von Knottengruppen mit einer definierenden Relation. Math. Z.141, 205–217 (1975)
[Ma] Magnus, W.: Das Identitätsproblem für Gruppen mit einer definierenden Relation. Math. Ann.106, 295–307 (1932)
[M] Montesinos, J.M.: Surgery on links and double branched coverings ofS 3, knots, groups, and 3-manifolds. Neuwirth, L.P. (ed.). Annals of Math. Studies 84, pp. 227–260. Princeton: Princeton University Press 1975
[MW] Montesinos, J.M., Whitten, W.: Construction of two-fold branched covering spaces. MSRI preprint 09912-85
[Mo] Moriah, Y.: Heegaard splittings of Seifert fibred spaces. Preprint
[P] Perron, O.: Die Lehre von Knettenbrüchen, Band 1. Stuttgart: Teubner 1954
[S] Schubert, H.: Knoten mit zwei Brücken. Math. Z.65, 133–170 (1956)
[T] Thurston, W.: The geometry and topology of three-manifolds. Lecture notes. Princeton: Princeton University Press (to appear)
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Bleiler, S.A., Moriah, Y. Heegaard splittings and branched coverings ofB 3 . Math. Ann. 281, 531–543 (1988). https://doi.org/10.1007/BF01456837
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DOI: https://doi.org/10.1007/BF01456837