71 citations · 572 across the 56 of their papers we have counts for
52 papers · 1 filter
Curvy points, the perimeter, and the complexity of convex toric domains
Dan Cristofaro-Gardiner, Nicki Magill, Dusa McDuff
We study the related notions of curvature and perimeter for toric boundaries and their implications for symplectic packing problems in dimension 4; a natural setting for this is a…
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…
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…
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…
Staircase Patterns in Hirzebruch Surfaces
Nicki Magill, Dusa McDuff, Morgan Weiler
The ellipsoidal capacity function of a symplectic four manifold measures how much the form on must be dilated in order for it to admit an embedded ellipsoid of eccentricity…
Symplectic capacities, unperturbed curves, and convex toric domains
Dusa McDuff, Kyler Siegel
We use explicit pseudoholomorphic curve techniques (without virtual perturbations) to define a sequence of symplectic capacities analogous to those defined recently by the second n…