English

Minor theory for quasipositive surfaces

Geometric Topology 2021-04-26 v1

Abstract

The set of quasipositive surfaces is closed under incompressible inclusion. We prove that the induced order on fibre surfaces of positive braid links is almost a well-quasi-order. When restricting to quasipositive surfaces containing a fixed root of a full twist, we get an actual well-quasi-order.

Keywords

Cite

@article{arxiv.2104.11447,
  title  = {Minor theory for quasipositive surfaces},
  author = {Sebastian Baader and Pierre Dehornoy and Livio Liechti},
  journal= {arXiv preprint arXiv:2104.11447},
  year   = {2021}
}

Comments

7 pages

R2 v1 2026-06-24T01:27:16.385Z