Volume 8, issue 3 (2008)

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Meridional almost normal surfaces in knot complements

Robin Todd Wilson

Algebraic & Geometric Topology 8 (2008) 1717–1740
Bibliography
1 D Bachman, Heegaard splittings with boundary and almost normal surfaces, Topology Appl. 116 (2001) 153 MR1855961
2 D Bachman, Thin position with respect to a Heegaard surface, preprint
3 A J Casson, C M Gordon, Reducing Heegaard splittings, Topology Appl. 27 (1987) 275 MR918537
4 A Coward, Algorithmically detecting the bridge number of hyperbolic knots (2006) arXiv:0710.1262
5 C Frohman, The topological uniqueness of triply periodic minimal surfaces in $\mathbf{R}^3$, J. Differential Geom. 31 (1990) 277 MR1030674
6 D Gabai, Foliations and the topology of $3$-manifolds. III, J. Differential Geom. 26 (1987) 479 MR910018
7 W Haken, Theorie der Normalflächen, Acta Math. 105 (1961) 245 MR0141106
8 W Jaco, D Letscher, H Rubinstein, One vertex, ideal, and efficient triangulations of 3–manifolds, in preparation
9 W Jaco, J H Rubinstein, $0$–efficient triangulations of 3–manifolds, J. Differential Geom. 65 (2003) 61 MR2057531
10 S King, Almost normal Heegaard surfaces (2003) arXiv:math.GT/0303377
11 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
12 M Scharlemann, A Thompson, Heegaard splittings of $(\mathrm{surface})\times I$ are standard, Math. Ann. 295 (1993) 549 MR1204837
13 M Scharlemann, M Tomova, Uniqueness of bridge surfaces for 2–bridge knots, Math. Proc. Cambridge Philos. Soc. 144 (2008) 639 MR2418708
14 M Stocking, Almost normal surfaces in $3$–manifolds, Trans. Amer. Math. Soc. 352 (2000) 171 MR1491877
15 A Thompson, Thin position and the recognition problem for $S^3$, Math. Res. Lett. 1 (1994) 613 MR1295555
16 M Tomova, Multiple bridge surfaces restrict knot distance, Algebr. Geom. Topol. 7 (2007) 957 MR2336246