1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.SG2024
A tree formula for the ellipsoidal superpotential of the complex projective plane
Kyler Siegel
The ellipsoidal superpotential of the complex projective plane can be interpreted as a count of rigid rational plane curves of a given degree with one prescribed cusp singularity.…
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…