Trefoil plumbing
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- by Sebastian Baader and Pierre Dehornoy PDF
- Proc. Amer. Math. Soc. 144 (2016), 387-397 Request permission
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.References
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Additional Information
- Sebastian Baader
- Affiliation: Department of Mathematics, Universität Bern, Sidlerstrasse 5, CH-3012 Bern, Switzerland
- MR Author ID: 757518
- 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
- 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
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 144 (2016), 387-397
- MSC (2010): Primary 57M25
- DOI: https://doi.org/10.1090/proc/12561
- MathSciNet review: 3415605