Constructing topological biquandles via skew braces

TL;DR

This paper introduces a method to construct nontrivial topological biquandles using skew braces, enriching the algebraic structures available for topological and knot theory applications.

Contribution

It presents a novel construction of topological biquandles leveraging the concept of skew braces, expanding the toolkit for algebraic topology and knot invariants.

Findings

Constructed new examples of topological biquandles

Utilized skew braces as a key ingredient

Enhanced understanding of algebraic structures in topology

Abstract

In this short note, we construct some nontrivial examples of topological biquandle. The key ingredient of the construction is the notion of skew brace.