Linking number obstructions to satellite homomorphisms
Geometric Topology
2022-07-29 v1
Abstract
We prove that satellite operations that satisfy a certain positivity condition and have winding number other than one are not homomorphisms. The argument uses the -invariants of branched covers. In the process, we prove a technical result relating -invariants and the Torelli group which may be of independent interest.
Cite
@article{arxiv.2207.14198,
title = {Linking number obstructions to satellite homomorphisms},
author = {Tye Lidman and Allison N. Miller and Juanita Pinzón-Caicedo},
journal= {arXiv preprint arXiv:2207.14198},
year = {2022}
}