Algebraic & Geometric Topology

Heegaard splittings with large subsurface distances

Jesse Johnson, Yair Minsky, and Yoav Moriah

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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

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

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

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

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

Heegaard splitting curve complex subsurface projection


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.

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