Non-isotopic Seifert surfaces in the 4-ball
Geometric Topology
2023-12-04 v2
Abstract
We give families of knots and links with pairs of Seifert surfaces that are topologically non-isotopic in . This generalizes the main example of Hayden-Kim-Miller-Park-Sundberg and the proof is similarly based on the double branched cover and the Seifert form. Moreover, using Conway's theory of topographs, we implement an algorithm that decides whether two integral quadratic forms in two variables are isomorphic over .
Keywords
Cite
@article{arxiv.2304.12113,
title = {Non-isotopic Seifert surfaces in the 4-ball},
author = {Zsombor Fehér},
journal= {arXiv preprint arXiv:2304.12113},
year = {2023}
}
Comments
17 pages, 10 figures. In v2, added Theorems 3-5 and added Section 2