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math.SG2023
On Symplectic Packing Problems in Higher Dimensions
Kyler Siegel, Yuan Yao
Let denote the closed -dimensional symplectic ball of area , and let be a closed symplectic surface of genus and area . We prove that there is a…
math.SG2023★ 1 cited
Ellipsoidal superpotentials and singular curve counts
Dusa McDuff, Kyler Siegel
Given a closed symplectic manifold, we construct invariants which count (a) closed rational pseudoholomorphic curves with prescribed cusp singularities and (b) punctured rational p…
math.SG2023
Ellipsoidal superpotentials and stationary descendants
Grigory Mikhalkin, Kyler Siegel
We compute stationary gravitational descendants in symplectic ellipsoids of any dimension, and use these to derive a number of new recursive formula for punctured curve counts in s…