The signature of a splice

Alex Degtyarev; Vincent Florens; Ana G. Lecuona

doi:10.1093/imrn/rnw068

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arXiv · 1409.5873

The signature of a splice

Alex Degtyarev·Vincent Florens·Ana G. Lecuona

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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.

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Alex Degtyarev, Vincent Florens, Ana G. Lecuona. 2016-03-22. The signature of a splice. https://doi.org/10.1093/imrn%2Frnw068

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