Heegaard surfaces and measured laminations, I: the Waldhausen conjecture
几何拓扑
2007-05-23 v5
摘要
We give a proof of the so-called generalized Waldhausen conjecture, which says that an orientable irreducible atoroidal 3-manifold has only finitely many Heegaard splittings in each genus, up to isotopy. Jaco and Rubinstein have announced a proof of this conjecture using different methods.
引用
@article{arxiv.math/0408198,
title = {Heegaard surfaces and measured laminations, I: the Waldhausen conjecture},
author = {Tao Li},
journal= {arXiv preprint arXiv:math/0408198},
year = {2007}
}