Geometry & Topology
- Geom. Topol.
- Volume 13, Number 4 (2009), 2029-2050.
Stabilization of Heegaard splittings
For each there is a –manifold with two genus– Heegaard splittings that require stabilizations to become equivalent. Previously known examples required at most one stabilization before becoming equivalent. Control of families of Heegaard surfaces is obtained through a deformation to harmonic maps.
Geom. Topol., Volume 13, Number 4 (2009), 2029-2050.
Received: 22 April 2008
Revised: 9 February 2009
Accepted: 17 January 2009
First available in Project Euclid: 20 December 2017
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Hass, Joel; Thompson, Abigail; Thurston, William. Stabilization of Heegaard splittings. Geom. Topol. 13 (2009), no. 4, 2029--2050. doi:10.2140/gt.2009.13.2029. https://projecteuclid.org/euclid.gt/1513800287