An example concerning Hamiltonian groups of self product, I

Shengda Hu; Francois Lalonde

An example concerning Hamiltonian groups of self product, I

Symplectic Geometry 2014-04-03 v2

Authors: Shengda Hu , Francois Lalonde

Abstract

We show that $(S^2\times S^2, \omega_0 \oplus \lambda\omega_0)$ , with $\lambda > 1$ , is an example of symplectic manifold $(X, \omega)$ such that the $\pi_1 Ham(X \times X, \omega\oplus -\omega)$ contains extra elements than those from $\pi_1 Ham(X, \omega) \times \pi_1 Ham(X, -\omega)$ .

Keywords

symplectic manifold hamiltonian group self product fundamental group symplectic topology

Cite

@article{arxiv.1403.8141,
  title  = {An example concerning Hamiltonian groups of self product, I},
  author = {Shengda Hu and Francois Lalonde},
  journal= {arXiv preprint arXiv:1403.8141},
  year   = {2014}
}

Comments

This is the first of two short articles. They originally form one paper. After submission, it was split into two parts by the request of the Journal. They appeared in African Diaspora Journal of Mathematics

An example concerning Hamiltonian groups of self product, I

Abstract

Keywords

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