11 citations · 11 across the 3 of their papers we have counts for
4 papers
Yang-Baxter deformations and rack cohomology
Michael Eisermann
Every rack provides a set-theoretic solution of the Yang-Baxter equation. This article examines the deformation theory of within the space of Yang-Baxter operators…
Knot colouring polynomials
Michael Eisermann
This article introduces a natural extension of colouring numbers of knots, called colouring polynomials, and studies their relationship to Yang-Baxter invariants and quandle 2-cocy…
Equivalence of symmetric union diagrams
Michael Eisermann, Christoph Lamm
Motivated by the study of ribbon knots we explore symmetric unions, a beautiful construction introduced by Kinoshita and Terasaka 50 years ago. It is easy to see that every symmetr…
Quandle coverings and their Galois correspondence
Michael Eisermann
This article establishes the algebraic covering theory of quandles. For every connected quandle we explicitly construct a universal covering, which in turn leads us to define the a…