Algebraic & Geometric Topology Volume 14, issue 5 (2014)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Interests

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Other MSP Journals

The coarse geometry of the Kakimizu complex

Jesse Johnson, Roberto Pelayo and Robin Wilson

Algebraic & Geometric Topology 14 (2014) 2549–2560

DOI: 10.2140/agt.2014.14.2549

Bibliography

1	J E Banks, On links with locally infinite Kakimizu complexes, Algebr. Geom. Topol. 11 (2011) 1445 MR2821430
2	J E Banks, The Kakimizu complex of a connected sum of links, Trans. Amer. Math. Soc. 365 (2013) 6017 MR3091274
3	R Budney, JSJ-decompositions of knot and link complements in $S^3$, Enseign. Math. 52 (2006) 319 MR2300613
4	P de la Harpe, Topics in geometric group theory, University of Chicago Press (2000) MR1786869
5	A Hatcher, Notes on basic $3$–manifold topology, (2007)
6	O Kakimizu, Finding disjoint incompressible spanning surfaces for a link, Hiroshima Math. J. 22 (1992) 225 MR1177053
7	O Kakimizu, Classification of the incompressible spanning surfaces for prime knots of 10 or less crossings, Hiroshima Math. J. 35 (2005) 47 MR2131376
8	R C Pelayo, Diameter bounds on the complex of minimal genus seifert surfaces for hyperbolic knots, PhD thesis, California Institute of Technology (2007) MR3078414
9	P Przytycki, J Schultens, Contractibility of the Kakimizu complex and symmetric Seifert surfaces, Trans. Amer. Math. Soc. 364 (2012) 1489 MR2869183
10	M Sakuma, Minimal genus Seifert surfaces for special arborescent links, Osaka J. Math. 31 (1994) 861 MR1315011
11	M Sakuma, K J Shackleton, On the distance between two Seifert surfaces of a knot, Osaka J. Math. 46 (2009) 203 MR2531146
12	M Scharlemann, A Thompson, Finding disjoint Seifert surfaces, Bull. London Math. Soc. 20 (1988) 61 MR916076
13	R T Wilson, Knots with infinitely many incompressible Seifert surfaces, J. Knot Theory Ramifications 17 (2008) 537 MR2420023