Destabilizing amalgamated Heegaard splittings
Geometric Topology
2009-04-01 v2
Abstract
We construct a sequence of pairs of 3-manifolds each with torus boundary and with the following two properties: 1) For the result of a carefully chosen glueing of the nth pair of 3-manifolds along their boundary tori, the ratio of the genus of the resulting 3-manifold to the sum of the genera of the pair of 3-manifolds is less than 1/2. 2) The result of amalgamating certain unstabilized Heegaard splittings of the pair of 3-manifolds to form a Heegaard splitting of the resulting 3-manifold produces a stabilized Heegaard splitting that can be destabilized successively n times.
Keywords
Cite
@article{arxiv.math/0510386,
title = {Destabilizing amalgamated Heegaard splittings},
author = {Jennifer Schultens and Richard Weidmann},
journal= {arXiv preprint arXiv:math/0510386},
year = {2009}
}
Comments
This is the version published by Geometry & Topology Monographs on 3 December 2007