71 citations · 572 across the 56 of their papers we have counts for
7 papers · 1 filter
Topological rigidity of Hamiltonian loops and quantum homology
François Lalonde, Dusa McDuff, Leonid Polterovich
This paper studies the question of when a loop in the group Symp of symplectomorphisms of a symplectic manifold is isotopic to a loop that is generated by a time…
Corrigenda to: Introduction to Symplectic Topology
Dusa McDuff, Dietmar Salamon
This contains a list of (mostly very minor) corrections to the book Introduction to Symplectic Topology, Clarendon Press, Oxford, (1995), together with rewritten versions of two le…
On the Flux Conjectures
Francois Lalonde, Dusa McDuff, Leonid Polterovich
The ``Flux conjecture'' for symplectic manifolds states that the group of Hamiltonian diffeomorphisms is C^1-closed in the group of all symplectic diffeomorphisms. We prove the con…
Positive paths in the linear symplectic group
Francois Lalonde, Dusa McDuff
A positive path in the linear symplectic group $\Sp(2n)$ is a smooth path which is everywhere tangent to the positive cone. These paths are generated by negative definite (time-dep…
Lectures on Gromov invariants for symplectic 4-manifolds
Dusa McDuff
These are notes of lectures given at the NATO Summer School, Montreal 1995. Taubes's recent spectacular work setting up a correspondence between -holomorphic curves in symplecti…
From symplectic deformation to isotopy
Dusa McDuff
Let be an oriented 4-manifold which does not have simple SW-type, for example a blow-up of a rational or ruled surface. We show that any two cohomologous and deformation equiva…
Associativity properties of the symplectic sum
Dusa McDuff, Margaret Symington
In this note we apply a 4-fold sum operation to develop an associativity rule for the pairwise symplectic sum. This allows us to show that certain diffeomorphic symplectic -mani…