Stein-fillable open books of genus one that do not admit positive factorisations
Geometric Topology
2024-09-04 v1
Abstract
We construct an infinite family of genus one open book decompositions supporting Stein-fillable contact structures and show that their monodromies do not admit positive factorisations. This extends a line of counterexamples in higher genera and establishes that a correspondence between Stein fillings and positive factorisations only exists for planar open book decompositions.
Keywords
Cite
@article{arxiv.2103.13250,
title = {Stein-fillable open books of genus one that do not admit positive factorisations},
author = {Vitalijs Brejevs and Andy Wand},
journal= {arXiv preprint arXiv:2103.13250},
year = {2024}
}
Comments
8 pages, 6 figures