Stabilization of Heegaard splittings
Geometric Topology
2014-11-11 v2 Differential Geometry
Abstract
For each g greater than one there is a 3-manifold with two genus g Heegaard splittings that require g stabilizations to become equivalent. Previously known examples required at most one stabilization. Control of families of Heegaard surfaces is obtained through a deformation to harmonic maps.
Cite
@article{arxiv.0802.2145,
title = {Stabilization of Heegaard splittings},
author = {Joel Hass and Abigail Thompson and William Thurston},
journal= {arXiv preprint arXiv:0802.2145},
year = {2014}
}