论文标题

沿submanifold的象征性爆炸中的哈密顿循环

Hamiltonian loops on the symplectic blow up along a submanifold

论文作者

Pedroza, Andrés

论文摘要

我们证明,通过炸毁亚体包含一个无限顺序的元素而获得的哈密顿式差异群的基本群体。我们使用温斯坦的形态和明确构建了这种哈密顿二型差异循环来证明这一点。

We prove that the fundamental group of the group of Hamiltonian diffeomorphisms of the symplectic manifold that is obtain by blowing up a submanifold contains an element of infinite order. We prove this using Weinstein's morphism and by constructing explicitly such loop of Hamiltonian diffeomorphisms.

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