16 citations · 79 across the 18 of their papers we have counts for
4 papers · 1 filter
Sesquicuspidal curves, scattering diagrams, and symplectic nonsqueezing
Dusa McDuff, Kyler Siegel
We solve the stabilized symplectic embedding problem for four-dimensional ellipsoids into the four-dimensional round ball. The answer is neatly encoded by a piecewise smooth functi…
Symplectic field theory: an overview
Richard Hind, Kyler Siegel
We summarize some of the main ideas and results around symplectic field theory, from its early inception up to recent and ongoing developments.
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.…
Singular algebraic curves and infinite symplectic staircases
Dusa McDuff, Kyler Siegel
We show that the infinite staircases which arise in the ellipsoid embedding functions of rigid del Pezzo surfaces (with their monotone symplectic forms) can be entirely explained i…