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}.
Lagrangian two-spheres can be symplectically knotted
4 Pith papers cite this work, alongside 121 external citations. Polarity classification is still indexing.
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Sharp Bianchi–Egnell stability for the affine fractional L2-Sobolev inequality, with local spectral gap 2s/(n/2+s+1) and a strictly smaller optimal global constant.
A contractible complete 3-manifold with nonnegative scalar curvature is diffeomorphic to R³, and an open handlebody interior admits such a metric only if its genus is at most 1.
For θ-divergent subgroups of PSL(3,C), the Myrberg and, under a general-position hypothesis, Kulkarni limit sets are exactly the incidence Schubert thickening of the full-flag limit set, and a Zariski-dense open Schottky locus realizes the resulting Kobayashi-hyperbolic geometry.
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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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Sharp Stability for the Affine Fractional Sobolev Inequality
Sharp Bianchi–Egnell stability for the affine fractional L2-Sobolev inequality, with local spectral gap 2s/(n/2+s+1) and a strictly smaller optimal global constant.
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Topological Rigidity of Contractible 3-Manifolds and Handlebody Interiors under Nonnegative Scalar Curvature
A contractible complete 3-manifold with nonnegative scalar curvature is diffeomorphic to R³, and an open handlebody interior admits such a metric only if its genus is at most 1.
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Asymptotic flag geometry of complex Kleinian groups in $\mathbb{P}^2_\mathbb{C}$
For θ-divergent subgroups of PSL(3,C), the Myrberg and, under a general-position hypothesis, Kulkarni limit sets are exactly the incidence Schubert thickening of the full-flag limit set, and a Zariski-dense open Schottky locus realizes the resulting Kobayashi-hyperbolic geometry.