Minimally intersecting filling pairs on the punctured surface of genus two

Jeffreys, L. (2019) Minimally intersecting filling pairs on the punctured surface of genus two. Topology and its Applications, 254, pp. 101-106. (doi: 10.1016/j.topol.2018.12.011)

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In this short note, we construct a minimally intersecting pair of simple closed curves that fill a genus 2 surface with an odd, at least 3, number of punctures. This finishes the determination of minimally intersecting filling pairs for all surfaces completing the work of Aougab–Huang and Aougab–Taylor.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Jeffreys, Mr Luke
Authors: Jeffreys, L.
College/School:College of Science and Engineering > School of Mathematics and Statistics
Journal Name:Topology and its Applications
ISSN (Online):1879-3207
Published Online:03 January 2019
Copyright Holders:Copyright © 2019 The Author
First Published:First published in Topology and its Applications 254: 101-106
Publisher Policy:Reproduced under a Creative Commons License

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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
738201EPSRC DTP 16/17 and 17/18Mary Beth KneafseyEngineering and Physical Sciences Research Council (EPSRC)EP/N509668/1R&I - RESEARCH STRATEGY & INNOVATION