Knotted surfaces, Homological Norm and Extendable Subgroup
General Topology
2025-11-06 v1
Abstract
We prove that for arbitrary g, there is a surface K of genus g embedded in S4, which has finitely many extendable self-homeomorphisms' action on H1(K,Z), by defining a norm on H1(K,Z) and proving its additivity.
Cite
@article{arxiv.2511.03648,
title = {Knotted surfaces, Homological Norm and Extendable Subgroup},
author = {Qiling Liu},
journal= {arXiv preprint arXiv:2511.03648},
year = {2025}
}
Comments
9 pages, 1 figure