On links with locally infinite {K}akimizu complexes

Jessica E. Banks

doi:10.2140/agt.2011.11.1445

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arXiv · 1010.3831

On links with locally infinite {K}akimizu complexes

Jessica E. Banks

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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.

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BibTeX RIS

Jessica E. Banks. 2011-04-12. On links with locally infinite {K}akimizu complexes. https://doi.org/10.2140/agt.2011.11.1445

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