由三角剖分、Heegaard分解与手术表示定义的三维流形复杂度
几何拓扑
2017-08-24 v3
摘要
我们研究了由三角剖分、Heegaard分解与手术表示定义的三维流形复杂度。通过给出明确的几何构造，我们表明这些复杂度通过线性不等式相关联。我们还表明我们的线性不等式是渐近最优的。我们的结果在[arXiv:1405.1805]中被用于根据几何群论与纽结论数据估计Cheeger-Gromov -不变量。
引用
@article{arxiv.1506.00757,
title = {Complexities of 3-manifolds from triangulations, Heegaard splittings, and surgery presentations},
author = {Jae Choon Cha},
journal= {arXiv preprint arXiv:1506.00757},
year = {2017}
}
备注
16 pages, 9 figures. An error in the triangulation argument found by a referee has been fixed. Constants in Theorems A and B have been improved. Minor remaining typos have been fixed. To appear in the Quarterly Journal of Mathematics