Algebraic & Geometric Topology Volume 5, issue 4 (2005)

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ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

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Degree one maps between small 3–manifolds and Heegaard genus

Michel Boileau and Shicheng Wang

Algebraic & Geometric Topology 5 (2005) 1433–1450

DOI: 10.2140/agt.2005.5.1433

Bibliography

1	M Boileau, S Boyer, M Domergue, Y Mathieu, Killing slopes, in preparation
2	M Boileau, S Wang, Non-zero degree maps and surface bundles over $S^1$, J. Differential Geom. 43 (1996) 789 MR1412685
3	F Bonahon, J P Otal, Scindements de Heegaard des espaces lenticulaires, Ann. Sci. École Norm. Sup. $(4)$ 16 (1983) MR740078
4	W Browder, Surgery on simply-connected manifolds, Ergebnisse der Mathematik und ihrer Grenzgebiete 65, Springer (1972) MR0358813
5	A J Casson, C M Gordon, Reducing Heegaard splittings, Topology Appl. 27 (1987) 275 MR918537
6	A L Edmonds, Deformation of maps to branched coverings in dimension two, Ann. of Math. $(2)$ 110 (1979) 113 MR541331
7	C M Gordon, J Luecke, Reducible manifolds and Dehn surgery, Topology 35 (1996) 385 MR1380506
8	W Haken, On homotopy 3–spheres, Illinois J. Math. 10 (1966) 159 MR0219072
9	J Hempel, 3–Manifolds, Ann. of Math. Studies 86, Princeton University Press (1976) MR0415619
10	W Jaco, Lectures on three-manifold topology, CBMS Regional Conference Series in Mathematics 43, American Mathematical Society (1980) MR565450
11	M Lackenby, The Heegaard genus of amalgamated 3–manifolds, Geom. Dedicata 109 (2004) 139 MR2113191
12	F Lei, Complete systems of surfaces in 3–manifolds, Math. Proc. Cambridge Philos. Soc. 122 (1997) 185 MR1443595
13	Y W Rong, S C Wang, The preimages of submanifolds, Math. Proc. Cambridge Philos. Soc. 112 (1992) 271 MR1171163
14	M Scharlemann, Producing reducible 3–manifolds by surgery on a knot, Topology 29 (1990) 481 MR1071370
15	F Waldhausen, On mappings of handlebodies and of Heegaard splittings, from: "Topology of Manifolds (Proc Inst., Univ. of Georgia, Athens, Ga., 1969)", Markham, Chicago, Ill. (1970) 205 MR0271941