Document Type
Article
Publication Date
1-2023
Abstract
Let K⊂S3 be a knot and η,γ⊂S3∖K be simple closed curves. Denote by Σq(K) the q-fold cyclic branched cover of K. We give an explicit formula for computing the linking numbers between lifts of η and γ to Σq(K). As an application, we evaluate, in a variety of cases, an obstruction to satellite operations inducing homomorphisms on smooth concordance.
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Rights
Licensed to Smith College and distributed CC-BY 4.0 under the Smith College Faculty Open Access Policy.
Version
Author's Submitted Manuscript
Recommended Citation
Cahn, Patricia and Kjuchukova, Alexandra, "Linking in Cyclic Branched Covers and Satellite (non)-Homomorphisms" (2023). Mathematics Sciences: Faculty Publications, Smith College, Northampton, MA.
https://scholarworks.smith.edu/mth_facpubs/201