The topological biquandle of a link

Eva Horvat

doi:10.2140/pjm.2019.302.627

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arXiv · 1803.04546

The topological biquandle of a link

Eva Horvat

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Abstract

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.

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Eva Horvat. 2018-03-12. The topological biquandle of a link. https://doi.org/10.2140/pjm.2019.302.627

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