Author

Peter Huxford

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Preprint Jul 2026

Rigidity of maps between configuration spaces

Let $n\geq5$ and $m\geq3$. Let $\Phi\colon\mathrm{B}_n\to\mathrm{B}_m$ be a homomorphism of braid groups. We prove that if the image of $\Phi$ is irreducible and not cyclic, then $m=n$ and $\Phi$ agrees with an automorphism modulo the center $Z(\mathrm{B}_m)$. This resolves in the affirmative a conjecture of Chen, Kord...

Rodrigo de Pool, Peter Huxford, Daniel Minahan et al. · 0 citations