Complete characterization of quasiisometric embeddings between RAAGs on cycle graphs, including exotic cases without subgroup relations and hyperbolic plane embeddings into certain RAAGs.
Extensions of Veech groups II: Hierarchical hyper- bolicity and quasi-isometric rigidity
4 Pith papers cite this work. Polarity classification is still indexing.
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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.
Establishes a sufficient condition for relatively hierarchically hyperbolic groups to have property (QT) and applies it to residually finite groups in several classes including admissible groups and Artin groups of large type.
citing papers explorer
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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.
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Property (QT) of relatively hierarchically hyperbolic groups
Establishes a sufficient condition for relatively hierarchically hyperbolic groups to have property (QT) and applies it to residually finite groups in several classes including admissible groups and Artin groups of large type.