## Algebraic & Geometric Topology

### Heegaard splittings with large subsurface distances

#### 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.

#### Article information

Source
Algebr. Geom. Topol., Volume 10, Number 4 (2010), 2251-2275.

Dates
Revised: 26 July 2010
Accepted: 27 August 2010
First available in Project Euclid: 19 December 2017

https://projecteuclid.org/euclid.agt/1513715170

Digital Object Identifier
doi:10.2140/agt.2010.10.2251

Mathematical Reviews number (MathSciNet)
MR2745671

Zentralblatt MATH identifier
1229.57022

Subjects
Primary: 57M99: None of the above, but in this section
Secondary: 57R99: None of the above, but in this section

#### Citation

Johnson, Jesse; Minsky, Yair; Moriah, Yoav. Heegaard splittings with large subsurface distances. Algebr. Geom. Topol. 10 (2010), no. 4, 2251--2275. doi:10.2140/agt.2010.10.2251. https://projecteuclid.org/euclid.agt/1513715170

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