Volume 8, issue 2 (2008)

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An algorithm to determine the Heegaard genus of simple $3$–manifolds with nonempty boundary

Marc Lackenby

Algebraic & Geometric Topology 8 (2008) 911–934
Bibliography
1 F Bonahon, Cobordism of automorphisms of surfaces, Ann. Sci. École Norm. Sup. $(4)$ 16 (1983) 237 MR732345
2 D B A Epstein, R C Penner, Euclidean decompositions of noncompact hyperbolic manifolds, J. Differential Geom. 27 (1988) 67 MR918457
3 W Jaco, J Rubinstein, Layered-triangulations of $3$–manifolds arXiv:math/0603601
4 W Jaco, J L Tollefson, Algorithms for the complete decomposition of a closed $3$–manifold, Illinois J. Math. 39 (1995) 358 MR1339832
5 S Kojima, Polyhedral decomposition of hyperbolic $3$–manifolds with totally geodesic boundary, from: "Aspects of low-dimensional manifolds", Adv. Stud. Pure Math. 20, Kinokuniya (1992) 93 MR1208308
6 M Lackenby, Word hyperbolic Dehn surgery, Invent. Math. 140 (2000) 243 MR1756996
7 T Li, Heegaard surfaces and measured laminations. II. Non-Haken $3$–manifolds, J. Amer. Math. Soc. 19 (2006) 625 MR2220101
8 T Li, Heegaard surfaces and measured laminations. I. The Waldhausen conjecture, Invent. Math. 167 (2007) 135 MR2264807
9 S Matveev, Algorithmic topology and classification of $3$–manifolds, Algorithms and Computation in Math. 9, Springer (2003) MR1997069
10 J W Morgan, On Thurston's uniformization theorem for three-dimensional manifolds, from: "The Smith conjecture (New York, 1979)", Pure Appl. Math. 112, Academic Press (1984) 37 MR758464
11 C Petronio, J R Weeks, Partially flat ideal triangulations of cusped hyperbolic $3$–manifolds, Osaka J. Math. 37 (2000) 453 MR1772844
12 J H Rubinstein, Polyhedral minimal surfaces, Heegaard splittings and decision problems for $3$–dimensional manifolds, from: "Geometric topology (Athens, GA, 1993)", AMS/IP Stud. Adv. Math. 2, Amer. Math. Soc. (1997) 1 MR1470718
13 M Scharlemann, J Schultens, The tunnel number of the sum of $n$ knots is at least $n$, Topology 38 (1999) 265 MR1660345
14 M Scharlemann, A Thompson, Thin position for $3$–manifolds, from: "Geometric topology (Haifa, 1992)", Contemp. Math. 164, Amer. Math. Soc. (1994) 231 MR1282766
15 J Schultens, The classification of Heegaard splittings for (compact orientable surface)$ \times  S^1$, Proc. London Math. Soc. $(3)$ 67 (1993) 425 MR1226608
16 M Stocking, Almost normal surfaces in $3$–manifolds, Trans. Amer. Math. Soc. 352 (2000) 171 MR1491877
17 J L Tollefson, Involutions of sufficiently large $3$–manifolds, Topology 20 (1981) 323 MR617370