A search method for thin positions of links
Algebraic and Geometric Topology, Tome 5 (2005) no. 3, pp. 1027-1050
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We give a method for searching for thin positions of a given link.

DOI : 10.2140/agt.2005.5.1027
Keywords: knot, link, thin position, search method

Heath, Daniel J  1   ; Kobayashi, Tsuyoshi  2

1 Mathematics Department, Pacific Lutheran University, Tacoma WA 98447, USA
2 Department of Mathematics, Nara Women’s University, Kitauoya Nishimachi, Nara 630-8506, Japan
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Heath, Daniel J; Kobayashi, Tsuyoshi. A search method for thin positions of links. Algebraic and Geometric Topology, Tome 5 (2005) no. 3, pp. 1027-1050. doi: 10.2140/agt.2005.5.1027

[1] M Boileau, H Zieschang, Heegaard genus of closed orientable Seifert 3–manifolds, Invent. Math. 76 (1984) 455

[2] G Burde, H Zieschang, Knots, de Gruyter Studies in Mathematics 5, Walter de Gruyter Co. (1985)

[3] D Gabai, Foliations and the topology of 3–manifolds III, J. Differential Geom. 26 (1987) 479

[4] C M Gordon, J Luecke, Knots are determined by their complements, J. Amer. Math. Soc. 2 (1989) 371

[5] D J Heath, T Kobayashi, Essential tangle decomposition from thin position of a link, Pacific J. Math. 179 (1997) 101

[6] Y Moriah, J Schultens, Irreducible Heegaard splittings of Seifert fibered spaces are either vertical or horizontal, Topology 37 (1998) 1089

[7] U Oertel, Closed incompressible surfaces in complements of star links, Pacific J. Math. 111 (1984) 209

[8] Y Rieck, E Sedgwick, Thin position for a connected sum of small knots, Algebr. Geom. Topol. 2 (2002) 297

[9] M Scharlemann, A Thompson, Heegaard splittings of $(\mathrm{surface})\times I$ are standard, Math. Ann. 295 (1993) 549

[10] A Thompson, Thin position and bridge number for knots in the 3–sphere, Topology 36 (1997) 505

[11] Y Q Wu, Thin position and essential planar surfaces, Proc. Amer. Math. Soc. 132 (2004) 3417

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