Counting curves and stabilized symplectic embedding conjecture
Dusa McDuff (Columbia University)
Abstract: This is a report on joint work with Kyler Siegel that develops new ways to count $J$-holomorphic curves in $4$-dimensions, both in the projective plane with multi-branched tangency constraints, and in noncompact cobordisms between ellipsoids. These curves stabilize, i.e. if they exist in a given four dimensional target manifold $X$ they still exist in the product $X \times {\mathbb R}^{2k}$. This allows us to establish new cases of the stabilized embedding conjecture for symplectic embeddings of an ellipsoid into a ball (or ellipsoid).
algebraic geometrydifferential geometrysymplectic geometry
Audience: researchers in the topic
( video )
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Organizers: | Jose Mourao*, Rosa Sena Dias, SÃlvia Anjos* |
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