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arXiv · 1403.8141

An example concerning Hamiltonian groups of self product, I

Shengda Hu·Francois Lalonde
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Abstract

We show that $(S^2\times S^2, ω_0 \oplus λω_0)$, with $λ> 1$, is an example of symplectic manifold $(X, ω)$ such that the $π_1 Ham(X \times X, ω\oplus -ω)$ contains extra elements than those from $π_1 Ham(X, ω) \times π_1 Ham(X, -ω)$.

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Shengda Hu, Francois Lalonde. 2014-04-02. An example concerning Hamiltonian groups of self product, I. https://arxiv.org/abs/1403.8141

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