Algebraic & Geometric Topology
- Algebr. Geom. Topol.
- Volume 10, Number 4 (2010), 2251-2275.
Heegaard splittings with large subsurface distances
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.
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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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