Geodesic
On links with locally infinite Kakimizu complexes
Banks, Jessica E1
1Mathematical Institute, University of Oxford, 24–29 St Giles’, Oxford, OX1 3LB, UK
Algebraic and Geometric Topology, Tome 11 (2011) no. 3, pp. 1445-1454
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We show that the Kakimizu complex of a knot may be locally infinite, answering a question of Przytycki–Schultens. We then prove that if a link L only has connected Seifert surfaces and has a locally infinite Kakimizu complex then L is a satellite of either a torus knot, a cable knot or a connected sum, with winding number 0.

DOI : 10.2140/agt.2011.11.1445
Classification : 57M25
Keywords: links, Kakimizu complex, Seifert surface

Banks, Jessica E  1

1 Mathematical Institute, University of Oxford, 24–29 St Giles’, Oxford, OX1 3LB, UK 
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Banks, Jessica E. On links with locally infinite Kakimizu complexes. Algebraic and Geometric Topology, Tome 11 (2011) no. 3, pp. 1445-1454. doi: 10.2140/agt.2011.11.1445

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