The topological biquandle of a link

To every oriented link \(L\), we associate a topologically defined biquandle \(\widehat{\mathcal{B}}_{L}\), which we call the topological biquandle of \(L\). The construction of \(\widehat{\mathcal{B}}_{L}\) is similar to the topological description of the fundamental quandle given by Matveev. We fi...

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Bibliographic Details
Published in:arXiv.org 2019-11
Main Author: Horvat, Eva
Format: Article
Language:English
Subjects:
Topology
Online Access:Get full text
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Summary:To every oriented link \(L\), we associate a topologically defined biquandle \(\widehat{\mathcal{B}}_{L}\), which we call the topological biquandle of \(L\). The construction of \(\widehat{\mathcal{B}}_{L}\) is similar to the topological description of the fundamental quandle given by Matveev. We find a presentation of the topological biquandle and explain how it is related to the fundamental biquandle of the link.
ISSN:2331-8422
DOI:10.48550/arxiv.1803.04546