Criterion of Hurwitz equivalence for quasipositive factorizations of 3-braids

Abstract

We consider the Hurwitz action on quasipositive factorizations of a 3-braid. In a previous paper, for any given 3-braid we described a certain finite set which contains at least one representative of each orbit. Here we give an algorithm to decide if two elements of this finite set belong to the same orbit.

6 pages

References in corpus (2)

• Factorization semigroups and irreducible components of Hurwitz space
• On the Hurwitz action on quasipositive factorizations of 3-braids