Heegaard splittings of the form H + nK
Geometric Topology
2007-05-23 v1
Abstract
Suppose that a three-manifold M contains infinitely many distinct strongly irreducible Heegaard splittings H + nK, obtained by Haken summing the surface H with n copies of the surface K. We show that K is incompressible. All known examples, of manifolds containing infinitely many irreducible Heegaard splittings, are of this form. We also give new examples of such manifolds.
Cite
@article{arxiv.math/0408002,
title = {Heegaard splittings of the form H + nK},
author = {Yoav Moriah and Saul Schleimer and Eric Sedgwick},
journal= {arXiv preprint arXiv:math/0408002},
year = {2007}
}
Comments
30 pages, 22 figures