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math.SG2007
Loops in the Hamiltonian group: a survey
Dusa McDuff
This note describes some recent results about the homotopy properties of Hamiltonian loops in various manifolds, including toric manifolds and one point blow ups. We describe condi…
math.SG2007★ 7 cited
Hamiltonian S^1 manifolds are uniruled
Dusa McDuff
The main result of this note is that every closed Hamiltonian S^1 manifold is uniruled, i.e. it has a nonzero Gromov--Witten invariant one of whose constraints is a point. The proo…