An Elementary Proof of the Signature of Satellite Knots
Geometric Topology
2022-03-15 v2
Abstract
We present a proof of Litherland's formula for the Tristram-Levine signature of a satellite knot in terms of its constituents. Litherland's original proof used more advanced algebraic techniques, while ours uses only linear algebra and some basic results in knot theory.
Cite
@article{arxiv.2203.03217,
title = {An Elementary Proof of the Signature of Satellite Knots},
author = {Daniel Carter},
journal= {arXiv preprint arXiv:2203.03217},
year = {2022}
}
Comments
6 pages, 0 figures. Fixed some typos and added a section comparing our proof to a similar past proof