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arXiv · 2111.00515

Symplectic capacities, unperturbed curves, and convex toric domains

Dusa McDuff·Kyler Siegel
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Abstract

We use explicit pseudoholomorphic curve techniques (without virtual perturbations) to define a sequence of symplectic capacities analogous to those defined recently by the second named author using symplectic field theory. We then compute these capacities for all four-dimensional convex toric domains. This gives various new obstructions to stabilized symplectic embedding problems which are sometimes sharp.

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Dusa McDuff, Kyler Siegel. 2021-10-31. Symplectic capacities, unperturbed curves, and convex toric domains. https://doi.org/10.2140/gt.2024.28.1213

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