Computing Higher Symplectic Capacities I

نویسندگان

چکیده

Abstract We present recursive formulas that compute the recently defined “higher symplectic capacities” for all convex toric domains. In special case of four-dimensional ellipsoids, we apply homological perturbation theory to associated filtered $\mathcal{L}_\infty $ algebras and prove resulting structure coefficients count punctured pseudoholomorphic curves in cobordisms between ellipsoids. As sample applications, produce new previously inaccessible obstructions stabilized embeddings ellipsoids polydisks give counts with tangency constraints.

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ژورنال

عنوان ژورنال: International Mathematics Research Notices

سال: 2021

ISSN: ['1687-0247', '1073-7928']

DOI: https://doi.org/10.1093/imrn/rnaa334