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Genus two Heegaard splittings of orientable three-manifolds

J Hyam Rubinstein and Martin Scharlemann

Geometry & Topology Monographs 2 (1999) 489–553

DOI: 10.2140/gtm.1999.2.489

Bibliography
1 J S Birman, F González-Acuña, J M Montesinos, Heegaard splittings of prime 3–manifolds are not unique, Michigan Math. J. 23 (1976) 97–103 MR0431175
2 J S Birman, H M Hilden, Heegaard splittings of branched coverings of S3, Trans. Amer. Math. Soc. 213 (1975) 315–352 MR0380765
3 M Boileau, D J Collins, H Zieschang, Genus 2 Heegaard decompositions of small Seifert manifolds, Ann. Inst. Fourier (Grenoble) 41 (1991) 1005–1024 MR1150575
4 M Boileau, J P Otal, Groupe des difféotopies de certaines variétés de Seifert, C. R. Acad. Sci. Paris Sér. I Math. 303 (1986) 19–22 MR849619
5 F Bonahon, Difféotopies des espaces lenticulaires, Topology 22 (1983) 305–314 MR710104
6 F Bonahon, J P Otal, Scindements de Heegaard des espaces lenticulaires, Ann. Sci. École Norm. Sup. (4) 16 (1983) MR740078
7 A J Casson, C M Gordon, Reducing Heegaard splittings, Topology Appl. 27 (1987) 275–283 MR918537
8 D Cooper, M Scharlemann, The structure of a solvmanifold's Heegaard splittings, from: "Proceedings of 6th Gökova Geometry–Topology Conference" (1999) 1–18 MR1701636
9 C Hodgson, J H Rubinstein, Involutions and isotopies of lens spaces, from: "Knot theory and manifolds (Vancouver, B.C., 1983)", Lecture Notes in Math. 1144, Springer (1985) 60–96 MR823282
10 M Jones, M Scharlemann, How a strongly irreducible Heegaard splitting intersects a handlebody, Topology Appl. 110 (2001) 289–301 MR1807469
11 W Jaco, Lectures on three-manifold topology, CBMS Regional Conference Series in Mathematics 43, American Mathematical Society (1980) MR565450
12 T Kobayashi, Structures of the Haken manifolds with Heegaard splittings of genus two, Osaka J. Math. 21 (1984) 437–455 MR752472
13 J M Montesinos, Sobre la conjectura de Poincaré y los recubridores ramificados sobre un nodo, tesis, Facultad de Ciencias, Universidad Complutense de Madrid (1972)
14 Y Moriah, Heegaard splittings of Seifert fibered spaces, Invent. Math. 91 (1988) 465–481 MR928492
15 Y Moriah, J Schultens, Irreducible Heegaard splittings of Seifert fibered spaces are either vertical or horizontal, Topology 37 (1998) 1089–1112 MR1650355
16 H Rubinstein, M Scharlemann, Comparing Heegaard splittings of non–Haken 3–manifolds, Topology 35 (1996) 1005–1026 MR1404921
17 M Scharlemann, Heegaard splittings of compact 3–manifolds, from: "Handbook of geometric topology", North-Holland (2002) 921–953 MR1886684
18 M Takahashi, M Ochiai, Heegaard diagrams of torus bundles over S1, Comment. Math. Univ. St. Paul. 31 (1982) 63–69 MR674582
19 O J Viro, Links, two-sheeted branching coverings and braids, Mat. Sb. (N.S.) 87(129) (1972) 216–228 MR0298649