Centre for Mathematics, University of Coimbra

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Type:	Preprint
National /International:	International
Title:	Infinitely many meridional essential surfaces of bounded genus in hyperbolic knot exteriors
Publication Date:	2020-07-02
Authors:	- João Miguel Nogueira
Abstract:	We show the existence of an infinite collection of hyperbolic knots where each of which has in its exterior meridional essential planar surfaces of arbitrarily large number of boundary components, or, equivalently, that each of these knots has essential tangle decompositions of arbitrarily large number of strings. Moreover, each of these knots has in its exterior meridional essential surfaces of any positive genus and (even) number of boundary components. That is, the compact surfaces that have a meridional essential embedding into a hyperbolic knot exterior have meridional essential embeddings into each of these hyperbolic knots exteriors.
Institution:	DMUC 20-21
Online version:	http://www.mat.uc.pt...prints/eng_2020.html
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