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Trefoil plumbing


Authors: Sebastian Baader and Pierre Dehornoy
Journal: Proc. Amer. Math. Soc. 144 (2016), 387-397
MSC (2010): Primary 57M25
DOI: https://doi.org/10.1090/proc/12561
Published electronically: September 11, 2015
MathSciNet review: 3415605
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Abstract: We give a criterion for an open book to contain an $ n$-times iterated Hopf plumbing summand. As an application, we show that fibre surfaces of positive braid knots admit a trefoil plumbing structure.


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Additional Information

Sebastian Baader
Affiliation: Department of Mathematics, Universität Bern, Sidlerstrasse 5, CH-3012 Bern, Switzerland
Email: sebastian.baader@math.unibe.ch

Pierre Dehornoy
Affiliation: Department of Mathematics, Universität Bern, Sidlerstrasse 5, CH-3012 Bern, Switzerland
Address at time of publication: Institut Fourier-UMR 5582, Université Grenoble Alpes-CNRS, 38000 Grenoble, France
Email: pierre.dehornoy@ujf-grenoble.fr

DOI: https://doi.org/10.1090/proc/12561
Received by editor(s): January 24, 2014
Received by editor(s) in revised form: June 6, 2014
Published electronically: September 11, 2015
Additional Notes: The second author was supported by SNF project no. 137548: Knots and Surfaces
Communicated by: Martin Scharlemann
Article copyright: © Copyright 2015 American Mathematical Society