Degtyarev, A., Florens, V. and Lecuona, A. G. (2017) The signature of a splice. International Mathematics Research Notices, 2017(8), pp. 2249-2283. (doi: 10.1093/imrn/rnw068)
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Abstract
We study the behavior of the signature of colored links [6, 9] 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.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Garcia Lecuona, Professor Ana |
| Authors: | Degtyarev, A., Florens, V., and Lecuona, A. G. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | International Mathematics Research Notices |
| Publisher: | Oxford University Press |
| ISSN: | 1073-7928 |
| ISSN (Online): | 1687-0247 |
| Published Online: | 13 June 2016 |
| Copyright Holders: | Copyright © 2016 The Authors |
| First Published: | First published in International Mathematics Research Notices 2017(8): 2249-2283 |
| Publisher Policy: | Reproduced in accordance with the publisher copyright policy |
| Related URLs: |
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