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 |
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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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