Irreducible non-cyclic braid homomorphisms B_n o B_m (n≥5,m≥3) force m=n and central equivalence to an automorphism, implying holomorphic configuration-space maps are affine to the identity or constant.
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Rigidity of maps between configuration spaces
Irreducible non-cyclic braid homomorphisms B_n o B_m (n≥5,m≥3) force m=n and central equivalence to an automorphism, implying holomorphic configuration-space maps are affine to the identity or constant.