Rigidity of maps between configuration spaces

Rodrigo De Pool, Peter Huxford, Daniel Minahan +1

Let $n\ge 5$ and $m\ge 3$. Let $\Phi :{\mathrm{B}}_n\to {\mathrm{B}}_m$ be a homomorphism of braid groups. We prove that if the image of $\Phi$ is irreducible and not cyclic, then $m=n$ a…