Stein-fillable open books of genus one that do not admit positive factorisations

Brejevs, V. and Wand, A. (2023) Stein-fillable open books of genus one that do not admit positive factorisations. Mathematical Research Letters, 30(3), pp. 709-719. (doi: 10.4310/MRL.2023.v30.n3.a4)

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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.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Wand, Dr Andy and Brejevs, Mr Vitalijs
Authors: Brejevs, V., and Wand, A.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Mathematical Research Letters
Publisher:International Press
ISSN:1073-2780
ISSN (Online):1945-001X

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