有理球的柄分解与Casson-Gordon不变量
几何拓扑
2017-11-27 v2
摘要
给定一个边界为有理同调球的有理同调球，我们研究这些球的复杂性，以柄分解中1-柄的数量衡量。我们利用Casson-Gordon不变量获得下界，这也导出了带状纽结融合数的下界。我们使用Levine-Tristram签名计算这些界并给出显式例子。
引用
@article{arxiv.1610.10032,
title = {Handle decompositions of rational balls and Casson-Gordon invariants},
author = {Paolo Aceto and Marco Golla and Ana G. Lecuona},
journal= {arXiv preprint arXiv:1610.10032},
year = {2017}
}
备注
12 pages, 1 figure. Updated version following referee's advice. Accepted for publication in Proceedings of the American Mathematical Society