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2010 Heegaard splittings with large subsurface distances
Jesse Johnson, Yair Minsky, Yoav Moriah
Algebr. Geom. Topol. 10(4): 2251-2275 (2010). DOI: 10.2140/agt.2010.10.2251

Abstract

We show that subsurfaces of a Heegaard surface for which the relative Hempel distance of the splitting is sufficiently high have to appear in any Heegaard surface of genus bounded by half that distance.

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Jesse Johnson. Yair Minsky. Yoav Moriah. "Heegaard splittings with large subsurface distances." Algebr. Geom. Topol. 10 (4) 2251 - 2275, 2010. https://doi.org/10.2140/agt.2010.10.2251

Information

Received: 25 February 2010; Revised: 26 July 2010; Accepted: 27 August 2010; Published: 2010
First available in Project Euclid: 19 December 2017

zbMATH: 1229.57022
MathSciNet: MR2745671
Digital Object Identifier: 10.2140/agt.2010.10.2251

Subjects:
Primary: 57M99
Secondary: 57R99

Rights: Copyright © 2010 Mathematical Sciences Publishers

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