#### Volume 11, issue 3 (2011)

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On links with locally infinite Kakimizu complexes

### Jessica E Banks

Algebraic & Geometric Topology 11 (2011) 1445–1454
##### Abstract

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.