71 citations · 572 across the 56 of their papers we have counts for
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math.AG2024★ 1 cited
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…
math.SG2024
Polyfold fundamental classes and globally structured multivalued perturbations
Dusa McDuff, Katrin Wehrheim
Work of Hofer--Wysocki--Zehnder has shown that many spaces of pseudoholomorphic curves that arise when studying symplectic manifolds may be described as the zero set of a polyfold…
math.SG2024
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…