A lower bound for the double slice genus
Geometric Topology
2021-07-09 v3
Abstract
In this paper, we develop a lower bound for the double slice genus of a knot using Casson-Gordon invariants. As an application, we show that the double slice genus can be arbitrarily larger than twice the slice genus. As an analogue to the double slice genus, we also define the superslice genus of a knot, and give both an upper bound and a lower bound in the topological category.
Keywords
Cite
@article{arxiv.1801.04030,
title = {A lower bound for the double slice genus},
author = {Wenzhao Chen},
journal= {arXiv preprint arXiv:1801.04030},
year = {2021}
}
Comments
18 pages, 6 figures, to appear in Trans. Amer. Math. Soc