Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Computing higher symplectic capacities I   We present recursive formulas which compute the recently defined "higher
symplectic capacities" for all convex toric domains. In the special case of
four-dimensional ellipsoids, we apply homological perturbation theory to the
associated filtered L-infinity algebras and prove that the resulting structure
coefficients count punctured pseudoholomorphic curves in cobordisms between
ellipsoids. As sample applications, we produce new previously inaccessible
obstructions for stabilized embeddings of ellipsoids and polydisks, and we give
new counts of curves with tangency constraints.

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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an
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The categories of this paper are: chem-ph
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The categories of this paper are: econ
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The categories of this paper are: acc-phys
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The categories of this paper are: gr-qc
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The categories of this paper are: stat
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The categories of this paper are: comp-gas
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The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: cs
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The categories of this paper are: solv-int
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The categories of this paper are: q-alg