Any two Lagrangian (p,q)-pinwheel embeddings in B_{p,q} are Hamiltonian isotopic, with Symp_c(B_{p,q}) generated by the pintwist τ_{p,q}.
On genericity for holomorphic curves in four- dimensional almost-complex manifolds
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Planar multilink open books supporting canonical contact structures on singularity links imply rationality, with sandwiched singularities characterized by multiplicity-1 components.
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The nearby Lagrangian conjecture for pinwheels
Any two Lagrangian (p,q)-pinwheel embeddings in B_{p,q} are Hamiltonian isotopic, with Symp_c(B_{p,q}) generated by the pintwist τ_{p,q}.
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Planar multilinks and rational singularities
Planar multilink open books supporting canonical contact structures on singularity links imply rationality, with sandwiched singularities characterized by multiplicity-1 components.