Algebraic & Geometric Topology Volume 11, issue 2 (2011)

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Unexpected local minima in the width complexes for knots

Alexander Zupan

Algebraic & Geometric Topology 11 (2011) 1097–1105

DOI: 10.2140/agt.2011.11.1097

Bibliography

1	F Bonahon, J P Otal, Scindements de Heegaard des espaces lenticulaires, C. R. Acad. Sci. Paris Sér. I Math. 294 (1982) 585 MR663085
2	D Gabai, Foliations and the topology of 3–manifolds. III, J. Differential Geom. 26 (1987) 479 MR910018
3	J P Otal, Présentations en ponts du nœud trivial, C. R. Acad. Sci. Paris Sér. I Math. 294 (1982) 553 MR679942
4	M Ozawa, Nonminimal bridge positions of torus knots are stabilized arXiv:1006.1026
5	M Scharlemann, Thin position in the theory of classical knots, from: "Handbook of knot theory" (editors W Menasco, M Thistlethwaite), Elsevier (2005) 429 MR2179267
6	M Scharlemann, A Thompson, Thin position for 3–manifolds, from: "Geometric topology (Haifa, 1992)" (editors C Gordon, Y Moriah, B Wajnryb), Contemp. Math. 164, Amer. Math. Soc. (1994) 231 MR1282766
7	H Schubert, Über eine numerische Knoteninvariante, Math. Z. 61 (1954) 245 MR0072483
8	J Schultens, Additivity of bridge numbers of knots, Math. Proc. Cambridge Philos. Soc. 135 (2003) 539 MR2018265
9	J Schultens, Width complexes for knots and 3–manifolds, Pacific J. Math. 239 (2009) 135 MR2449015
10	A Thompson, Thin position and bridge number for knots in the 3–sphere, Topology 36 (1997) 505 MR1415602
11	F Waldhausen, Heegaard-Zerlegungen der 3–Sphäre, Topology 7 (1968) 195 MR0227992
12	A Zupan, Properties of knots preserved by cabling arXiv:1010.3220