拼接的符号
几何拓扑
2017-06-20 v2
摘要
我们研究了有色链接 [Flo05, CF08] 的符号在拼接操作下的行为。我们将该构造推广到整同调球中的有色链接,并表明符号几乎是可加的,仅包含一个与链接无关的修正项。我们将此修正项解释为广义 Hopf 链接的符号,并给出了一个简单的闭式公式来计算它。
引用
@article{arxiv.1409.5873,
title = {The signature of a splice},
author = {Alex Degtyarev and Vincent Florens and Ana G. Lecuona},
journal= {arXiv preprint arXiv:1409.5873},
year = {2017}
}
备注
Updated version. Sign corrected in Theorems 2.2 and 2.10 of the previous version. Also Corollary 2.6 was corrected and an Example added. 24 pages, 5 figures. To appear in IMRN