Quasipositive fiber surfaces are not well-quasi-ordered
Geometric Topology
2025-09-29 v1 Symplectic Geometry
Abstract
By exhibiting an explicit infinite anti-chain, we show that the class of quasipositive fiber surfaces in is not well-quasi-ordered under the surface minor relation. This answers questions raised by Baader-Dehornoy-Liechti and Dehornoy-Lunel-de Mesmay in the negative.
Cite
@article{arxiv.2509.22608,
title = {Quasipositive fiber surfaces are not well-quasi-ordered},
author = {Joseph Breen and Michele Capovilla-Searle},
journal= {arXiv preprint arXiv:2509.22608},
year = {2025}
}
Comments
16 pages, 9 figures, comments welcome