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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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.
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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