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.
Holomorphic maps be- tween moduli spaces
4 Pith papers cite this work, alongside 20 external citations. Polarity classification is still indexing.
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Complete characterization of quasiisometric embeddings between RAAGs on cycle graphs, including exotic cases without subgroup relations and hyperbolic plane embeddings into certain RAAGs.
Branching conditions on RAAG defining graphs force quasiisometric embeddings to induce extension graph embeddings, enabling rigidity theorems including obstructions to tree-product embeddings, classifications for cycle RAAGs, and non-universal receivers in each dimension.
Under geometric branching conditions, quasiisometric embeddings of CAT(0) cube complexes map flats to near-flats, inducing embeddings on Tits boundary graphs.
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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Quasiisometric embeddings between right-angled Artin groups: flexibility
Complete characterization of quasiisometric embeddings between RAAGs on cycle graphs, including exotic cases without subgroup relations and hyperbolic plane embeddings into certain RAAGs.
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Quasiisometric embeddings between right-angled Artin groups: rigidity
Branching conditions on RAAG defining graphs force quasiisometric embeddings to induce extension graph embeddings, enabling rigidity theorems including obstructions to tree-product embeddings, classifications for cycle RAAGs, and non-universal receivers in each dimension.
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From branching quasiflats to flats in CAT(0) cube complexes
Under geometric branching conditions, quasiisometric embeddings of CAT(0) cube complexes map flats to near-flats, inducing embeddings on Tits boundary graphs.