On links with locally infinite {K}akimizu complexes
Geometric Topology
2014-10-01 v2
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 only has connected Seifert surfaces and has a locally infinite Kakimizu complex then is a satellite of either a torus knot, a cable knot or a connected sum, with winding number 0.
Keywords
Cite
@article{arxiv.1010.3831,
title = {On links with locally infinite {K}akimizu complexes},
author = {Jessica E. Banks},
journal= {arXiv preprint arXiv:1010.3831},
year = {2014}
}
Comments
9 pages, 5 figures; v2 minor has minor changes incorporating referee's comments. To appear in Algebraic & Geometric Topology