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math.SG2019
Computing higher symplectic capacities I
Kyler Siegel
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…
math.SG2019★ 11 cited
Counting curves with local tangency constraints
Dusa McDuff, Kyler Siegel
We construct invariants for any closed semipositive symplectic manifold which count rational curves satisfying tangency constraints to a local divisor. More generally, we introduce…
math.SG2019★ 12 cited
Higher symplectic capacities
Kyler Siegel
We construct new families of symplectic capacities indexed by certain symmetric polynomials, defined using rational symplectic field theory. In particular, we introduce a sequence…