The Hurwitz Equivalence Problem is Undecidable

Abstract

In this paper, we prove that the Hurwitz equivalence problem for 1-factorizations in $F_2\oplus F_2$ is undecidable, and as a consequence, the Hurwitz equivalence problem for ${\Delta }^2$-factorizations in the braid groups $B_n,n\ge 5$ is also undecidable.

References in corpus (1)

• Braid Monodromy Factorization and Diffeomorphism Types

Cited by in corpus (2)

• A Note on Braid Group Actions on Semiorthonormal Bases of Mukai Lattices
• Hurwitz equivalences of positive group generators