Hamiltonian diffeomorphisms of toric manifolds

Details Hamiltonian diffeomorphisms of toric manifolds Hamiltonian diffeomorphisms of toric manifolds

2005-06-09

arxiv.org/abs/math/0506176v1

Mathematics

Symplectic Geometry

9 pages

Scientific paper

We prove that $\pi_1(\text{Ham}(M))$ contains an infinite cyclic subgroup,
where $\text{Ham}(M)$ is the Hamiltonian group of the one point blow up of
${\Bbb C}P^3$. We give a sufficient condition for the group
$\pi_1(\text{Ham}(M))$ to contain an infinite cyclic subgroup, when $M$ is a
general toric manifold.

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