References
Allard, W.: On the first variation of a varifold. Ann. Math.95, 417–491 (1972)
Almgren, Jr., F.J., Simon, L.: Existence of embedded solutions of Plateau's Problem. Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser.6, 447–495 (1979)
Bonahon, F.: Diffeotopies des espaces lenticulaires. Topology22, 305–314 (1983)
Bonahon, F., Otal, J.P.: Scindements de Heegaard des espaces lenticulaires. Ann. Sci. Ec. Norm. Super., IV. Ser.16, 451–466 (1983)
Boileau, M., Collins, D.J., Zieschang, H.: Scindements de Heegaard des petites varietes de Seifert. Math. Ann. (in press)
Federer, H.: Geometric measure theory. Berlin-Heidelberg-New York: Springer 1969
Frohman, C.: Minimal surfaces and Heegaard splittings of the three-torus. Pac. J. Math.124, 119–130 (1986)
Hass, J., Scott, G.P.: The existence of least area surfaces in 3-manifolds. Trans. Am. Math. Soc. (in press)
Hass, J.: Minimal Surfaces in Seifert Fiber Spaces. Topology Appl.18, 145–151 (1984)
Hass, J.: Surfaces minimizing area in their homology classes and group actions on 3-manifolds. Math. Z. (in press)
Hyde, S.: Triply periodic minimal surfaces and crystallography. Thesis, Canberra University 1986
Hempel, J.: Three-manfolds. Ann. Math. Studies86, Princeton University Press (1976)
Jaco, W.: Adding a two-handle to a three-manifold: An application to propertyR. Proc. Am. Math. Soc.92, 288–292 (1984)
Meeks, W.: Lectures on Plateau's problem. I.M.P.A., Rio, Brazil (1978)
Meeks, W., Simon, L., Yau, S.T.: Embedded minimal surfaces, exotic spheres and manifolds of positive Ricci curvature. Ann. Math.116, 621–659 (1982)
Morgan, F.: Geometric measure theory: A beginners guide. New York: Academic Press 1988
Moriah, Y.: Heegaard splittings of Seifert fibered spaces. Invent. Math. (in press)
Pitts, J.T.: Existence and regularity of minimal surfaces on Riemannian manifolds. Princeton, J: University Press 1981
Pitts, J.T., Rubinstein, J.H.: Existence of minimal surfaces of bounded topological type in three-manifolds. Proc. Cent. Math. Anal. Aust. Natl. Univ. Canberra,10, 163–176 (1986)
Pitts, J.T., Rubinstein, J.H.: Applications of minimax to minimal surfaces and the topology of three-manifolds. Proc. Cent. Math. Anal. Aust. Natl. Univ. Canberra,12, 137–170 (1987)
Pitts, J.T., Rubinstein, J.H.: Equivariant minimax and minimal surfaces in geometric 3-manifolds, Bull. A.M.S.19, 303–309 (1988)
Przytycki, J.: Incompressibility of surfaces after Dehn surgery. Mich. Math. J.30, 289–308 (1983)
Scott, G.P.: There are no fake Seifert fiber spaces. Ann. Math.117, 35–70 (1983)
Scharlemann, M.: Outermost forks and a theorem of Jaco. Proceedings of the Rochester conference, 1982
Simon, L., Smith, F.: On the existence of embedded minimal two-spheres in the 3-sphere endowed with an arbitrary metric. Preprint, University of Melbourne
Waldhausen, F.: Heegaard-Zerlugen der 3-sphäre. Topology7, 195–203 (1968)
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Partially supported by NSF grant DMS-8701746
Partially supported by NSF grant DMS-8600034
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Frohman, C., Hass, J. Unstable minimal surfaces and Heegaard splittings. Invent Math 95, 529–540 (1989). https://doi.org/10.1007/BF01393888
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DOI: https://doi.org/10.1007/BF01393888