Almost normal Heegaard surfaces
几何拓扑
2007-05-23 v3
摘要
We present a new and shorter proof of Stocking's result that any strongly irreducible Heegaard surface of a closed orientable triangulated 3-manifold is isotopic to an almost normal surface. We also re-prove a result of Jaco and Rubinstein on normal spheres. Both proofs are based on the "reduction" technique introduced by the author.
引用
@article{arxiv.math/0303377,
title = {Almost normal Heegaard surfaces},
author = {Simon A. King},
journal= {arXiv preprint arXiv:math/0303377},
year = {2007}
}
备注
13 pages, 2 figures. One figure added. The proof of a corollary was incorrect and had to be removed. The proof of the main result is essentially unchanged