Nielsen equivalence and multisections of 4-manifolds
Geometric Topology
2024-09-04 v2
Abstract
Islambouli showed that there exist infinitely many 4-manifolds admitting non-isotopic trisections using a Nielsen equivalence, which can be used to construct non-isotopic Heegaard splittings. In this paper, we show that there exist infinitely many 4-manifolds admitting non-isotopic bisections in the same way. Moreover, we show that there exist infinitely many 4-manifolds admitting non-isotopic 4-sections by considering the doubles of the bisections.
Cite
@article{arxiv.2401.15822,
title = {Nielsen equivalence and multisections of 4-manifolds},
author = {Tsukasa Isoshima and Masaki Ogawa},
journal= {arXiv preprint arXiv:2401.15822},
year = {2024}
}
Comments
14 pages, 3 figures