This is a preview of subscription content, log in via an institution to check access.
References
[Bi] Birman, J.S.: Braids, links, and mapping class groups. Ann. Math. Studies 82. Princeton, N.J.: Princeton University Press 1974
[BiH] Birman, J.S., Hilden, H.: Heegaard splittings and branched coverings ofS 3. Trans. Amer. Math. Soc.213, 315–352 (1975)
[BZ 1] Boileau, M., Zieschang, H.: Genre de Heegaard d'une variétè de dimension 3 et générateurs de son groupe fondamental. C.R. Acad. Sc. Paris296 (Série I) 925–928 (1983)
[BZ 2] Boileau, M., Zieschang, H.: Nombre de ponts et générateurs méridiens des entrelacs de Montesinos et de Seifert, To appear
[Bo] Bonahon, F.: Involutions et fibrés de Seifert dans les varietés de dimension 3. These de 3ème cycle, Orsay 1979
[BuM] Burde, G., Murasugi, K.: Links and Seifert fibre spaces. Duke Math. J.37, 89–93 (1970)
[BuZ] Burde, G., Zieschang, H.: Knots. Berlin: de Gruyter. To appear
[De] Dehn, M.: Über Abbildungen. Mat. Tidsskrift B 1939, 25–48
[Ha 1] Haken, W.: Various aspects of the 3-dimensional Poincaré problem. In: Topology of manifolds, pp. 140–152. Chicago: Markham 1970
[Ha 2] Haken, W.: Some results on surfaces in 3-manifolds. Studies in Modern Topology, M.A.A. studies in Math. vol.5, 39–98 (1968)
[Li] Lickorish, W.B.R.: A finite set of generators for the homeotopy group of a 2-manifold. Proc. Camb. Phil. Soc.60, 769–778 (1964); Proc. Camb. Phil. Soc.62, 679–681 (1966)
[Mo 1] Montesinos, J.M.: Variedades de Seifert que son recubridores ciclicos ramificados de dos hojas. Bol. Mat. Mexicana18, 1–32 (1973)
[Mo 2] Montesinos, J.M.: Revêtements ramifiés de noeuds, espaces fibrés de Seifert et scindement de Heegaard. Prepublication Orsay 1978
[Oc] Ochiai, M.: Heegaard splittings ofF×S 1. Yokohama Math. J.25, 109–112 (1977)
[Or] Orlik, P.: Seifert Manifolds. Lecture Notes in Math. vol. 291. Berlin-Heidelberg-New York: Springer 1972
[OVZ] Orlik, P., Vogt, E., Zieschang, H.: Zur Topologie gefaserter dreidimensionaler Mannigfaltigkeiten. Topology6, 49–64 (1967)
[OZ] Osborne, R.P., Zieschang, H.: Primitives in the free group on two generators. Invent. math.63, 17–24 (1981)
[PRZ] Peczynski, N., Rosenberger, G., Zieschang, H.: Über Erzeugende ebener diskontinuierlicher Gruppen. Invent. math.29, 161–180 (1975)
[Ra] Rassias, G.M.: On the genus problem of 3-dimensional manifolds and the Poincaré conjecture. Bull. Soc. Roy. Sci. Liege No.3 (4), 125–128 (1981)
[Re] Reidemeister, K.: Über Heegaard Diagramme. Abh. Math. Sem. Univ. Hamburg25, 140–145 (1961/62)
[Se] Seifert, H.: Topologie dreidimensionaler gefaserter Räume. Acta Math.60, 147–238 (1933)
[Si] Siebenmann, L.: Introduction aux espaces fibrés de Seifert. Notes multicopiés, Orsay 1977–1978
[Th] Thurston, W.P.: The geometry and topology of 3-manifolds, ch. 13. Mimeographed Notes Priceton University 1976–1979
[TOc] Takahashi, M., Ochiai, M.: Heegaard diagrams of torus bundles overS 1. Comment. Math. Univ. Sancti Pauli31, 63–69 (1982)
[To] Tollefson, J.L.: Involutions of Seifert fiber spaces. Pacific J. Math.74, 519–529 (1978)
[Vi] Viro, O.: Linkings, two sheeted branched coverings and braids. Math. USSR Sbornik16, 223–235 (1972)
[Wa 1] Waldhausen, F.: On irreducible 3-manifolds which are sufficiently large. Ann. of Math.87, 56–88 (1968)
[Wa 2] Waldhausen, F.: Heegaard-Zerlegungen der 3-Sphäre. Topology7, 195–203 (1968)
[Wa 3] Waldhausen, F.: Some problems on 3-manifolds. Proc. Symposia in Pure Math.32, (part. 2) 313–322 (1978)
[Zi] Zieschang, H.: Classification of Montesions knots. Lecture Notes in Mathematics, in press. (Topology-Conference in Leningrad 1982)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Boileau, M., Zieschang, H. Heegaard genus of closed orientable Seifert 3-manifolds. Invent Math 76, 455–468 (1984). https://doi.org/10.1007/BF01388469
Issue Date:
DOI: https://doi.org/10.1007/BF01388469