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Trefoil plumbing

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 11 Sep 2015Embargo end date: 01 Aug 2013 France English Publisher:American Mathematical Society (AMS)Journal:Proceedings of the American Mathematical Society, volume 144, pages 387-397 (issn: 0002-9939, eissn: 1088-6826, Copyright policy )
Authors: Baader, Sebastian; Dehornoy, Pierre;

doi: 10.1090/proc/12561 , 10.7892/boris.105323 , 10.48550/arxiv.1308.5866

arXiv: 1308.5866

Trefoil plumbing

Abstract

We give a criterion for an open book to contain an n n -times iterated Hopf plumbing summand. As an application, we show that fibre surfaces of positive braid knots admit a trefoil plumbing structure.

Country
France
Related Organizations
Keywords

Mathematics - Geometric Topology, [MATH.MATH-GT]Mathematics [math]/Geometric Topology [math.GT], knots, FOS: Mathematics, Knots and links in the \(3\)-sphere, open book, Geometric Topology (math.GT), positive Hopf plumbing, 510

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    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 1
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Average
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
Green
bronze