The signature of a splice
Geometric Topology
2017-06-20 v2
Abstract
We study the behavior of the signature of colored links [Flo05, CF08] under the splice operation. We extend the construction to colored links in integral homology spheres and show that the signature is almost additive, with a correction term independent of the links. We interpret this correction term as the signature of a generalized Hopf link and give a simple closed formula to compute it.
Cite
@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}
}
Comments
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