The Kakimizu complex of a connected sum of links
Geometric Topology
2018-07-17 v1
Abstract
We show that |MS(L_1 # L_2)|=|MS(L_1)|\times|MS(L_2)|\times\mathbb{R} when and are any non-split and non-fibred links. Here denotes the Kakimizu complex of a link , which records the taut Seifert surfaces for . We also show that the analogous result holds if we study incompressible Seifert surfaces instead of taut ones.
Keywords
Cite
@article{arxiv.1109.0965,
title = {The Kakimizu complex of a connected sum of links},
author = {Jessica E. Banks},
journal= {arXiv preprint arXiv:1109.0965},
year = {2018}
}
Comments
23 pages, 8 figures. This result has been proved independently by Bassem Saad