14 citations · 20 across the 3 of their papers we have counts for
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On nearly semifree circle actions
Dusa McDuff, Susan Tolman
Recall that an effective circle action is semifree if the stabilizer subgroup of each point is connected. We show that if $(M, \om)$ is a coadjoint orbit of a compact Lie group …
A survey of the topological properties of symplectomorphism groups
Dusa McDuff
The special structures that arise in symplectic topology (particularly Gromov--Witten invariants and quantum homology) place as yet rather poorly understood restrictions on the top…
Topological properties of Hamiltonian circle actions
Dusa McDuff, Susan Tolman
This paper studies Hamiltonian circle actions, i.e. circle subgroups of the group Ham(M,\om) of Hamiltonian symplectomorphisms of a closed symplectic manifold (M,\om). Our main too…
Lectures on Groups of Symplectomorphisms
Dusa McDuff
These notes combine material from short lecture courses given in Paris, France, in July 2001 and in Srni, the Czech Republic, in January 2003. They discuss groups of symplectomorph…
Geometric variants of the Hofer norm
Dusa McDuff
This note discusses some geometrically defined seminorms on the group $\Ham(M, ω)$ of Hamiltonian diffeomorphisms of a closed symplectic manifold , giving conditions under…
Cohomological properties of ruled symplectic structures
Francois Lalonde, Dusa McDuff
This survey presents some recent results by the authors and Polterovich on the topological properties of ruled symplectic manifolds. The bundle M \to P \to B that is associated wit…