Hamiltonian diffeomorphisms of toric manifolds

Andrés Viña

Hamiltonian diffeomorphisms of toric manifolds

Symplectic Geometry 2007-05-23 v1 Differential Geometry

Authors: Andrés Viña

Abstract

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.

Keywords

hamiltonian diffeomorphisms toric manifolds hamiltonian group fundamental group blow up of cp^3

Cite

@article{arxiv.math/0506176,
  title  = {Hamiltonian diffeomorphisms of toric manifolds},
  author = {Andrés Viña},
  journal= {arXiv preprint arXiv:math/0506176},
  year   = {2007}
}

Comments

9 pages

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