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.
Braid groups and the co-Hopfian property
3 Pith papers cite this work. Polarity classification is still indexing.
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Constructs non-split 2-component links in S^4 to obtain topologically split but smoothly non-split links in #^n CP^2, yielding exotic simply connected definite 4-manifolds with boundary and exotic Mazur manifold embeddings in S^4.
The Conway knot has infinite concordance order in the smooth concordance group.
citing papers explorer
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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.
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Links of Mazur manifolds and exotica
Constructs non-split 2-component links in S^4 to obtain topologically split but smoothly non-split links in #^n CP^2, yielding exotic simply connected definite 4-manifolds with boundary and exotic Mazur manifold embeddings in S^4.
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The Conway knot has infinite concordance order
The Conway knot has infinite concordance order in the smooth concordance group.