The classification of Wada-type representations of braid groups

Abstract

We give a classification of Wada-type representations of the braid groups, and solutions of a variant of the set-theoretical Yang-Baxter equation adapted to the free-product group structure. As a consequence, we prove Wada's conjecture: There are only seven types of Wada-type representations up to certain symmetries.

13 pages, 2 figures: Added Lemma 2.2, which was implicit in the previous version without proof and more explanations

References in corpus (1)

• A functor-valued extension of knot quandles

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