24 citations · 44 across the 7 of their papers we have counts for
7 papers
Faithful Semitoric Systems
Sonja Hohloch, Silvia Sabatini, Daniele Sepe +1
This paper consists of two parts. The first provides a review of the basic properties of integrable and almost-toric systems, with a particular emphasis on the integral affine stru…
Toric structures on near-symplectic 4-manifolds
David T. Gay, Margaret Symington
A near-symplectic structure on a 4-manifold is a closed 2-form that is symplectic away from the 1-dimensional submanifold along which it vanishes and that satisfies a certain trans…
Almost toric symplectic four-manifolds
Naichung Conan Leung, Margaret Symington
Almost toric manifolds form a class of singular Lagrangian fibered symplectic manifolds that is a natural generalization of toric manifolds. Notable examples include the K3 surface…
Four dimensions from two in symplectic topology
Margaret Symington
This paper introduces two-dimensional diagrams that are slight generalizations of moment map images for toric four-manifolds and catalogs techniques for reading topological and sym…
Generalized symplectic rational blowdowns
Margaret Symington
We prove that the generalized rational blowdown, a surgery on smooth 4-manifolds, can be performed in the symplectic category.
Symplectic rational blowdowns
Margaret Symington
We prove that the rational blowdown, a surgery on smooth 4-manifolds introduced by Fintushel and Stern, can be performed in the symplectic category. As a consequence, interesting f…