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Heegaard structures of manifolds in the Dehn filling space

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Publication:1972339
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DOI10.1016/S0040-9383(99)00026-9zbMath0944.57013WikidataQ128109458 ScholiaQ128109458MaRDI QIDQ1972339

Yo'av Rieck

Publication date: 17 September 2000

Published in: Topology (Search for Journal in Brave)


zbMATH Keywords

stabilizationDehn surgerysplittingcompression bodyCerf theory


Mathematics Subject Classification ID

General low-dimensional topology (57M99)


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Small genus knots in lens spaces have small bridge number ⋮ Obtaining genus 2 Heegaard splittings from Dehn surgery ⋮ Computing Heegaard Genus is NP-Hard ⋮ The growth rate of the tunnel number of \(m\)-small knots ⋮ Knot exteriors with additive Heegaard genus and Morimoto's conjecture ⋮ Exceptional and cosmetic surgeries on knots ⋮ Rank and genus of 3-manifolds ⋮ Heegaard splittings with boundary and almost normal surfaces ⋮ Thin position for a connected sum of small knots ⋮ Knots with \(g(E(K))=2\) and \(g(E(K\#K\#K))=6\) and Morimoto's conjecture ⋮ On the growth rate of the tunnel number of knots ⋮ Persistence of Heegaard structures under Dehn filling ⋮ Bridge number, Heegaard genus and non-integral Dehn surgery



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