The number of strings on essential tangle decompositions of a knot can be unbounded

João Miguel Nogueira

doi:10.2140/agt.2016.16.2535

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Home > Journals > Algebr. Geom. Topol. > Volume 16 > Issue 5 > Article

2016 The number of strings on essential tangle decompositions of a knot can be unbounded

João Miguel Nogueira

Algebr. Geom. Topol. 16(5): 2535-2548 (2016). DOI: 10.2140/agt.2016.16.2535

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Abstract

We construct an infinite collection of knots with the property that any knot in this family has $n$ –string essential tangle decompositions for arbitrarily high $n$ .

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João Miguel Nogueira. "The number of strings on essential tangle decompositions of a knot can be unbounded." Algebr. Geom. Topol. 16 (5) 2535 - 2548, 2016. https://doi.org/10.2140/agt.2016.16.2535

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Received: 16 April 2014; Revised: 28 July 2015; Accepted: 29 September 2015; Published: 2016

First available in Project Euclid: 16 November 2017

zbMATH: 1358.57017

MathSciNet: MR3572339

Digital Object Identifier: 10.2140/agt.2016.16.2535

Subjects:

Primary: 57M25 , 57N10

Keywords: essential tangle , essential tangle decomposition , meridional essential surface

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João Miguel Nogueira "The number of strings on essential tangle decompositions of a knot can be unbounded," Algebraic & Geometric Topology, Algebr. Geom. Topol. 16(5), 2535-2548, (2016)

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