论文标题

几何散射单片

Geometric scattering monodromy

论文作者

Cushman, Richard

论文摘要

在本文中,我们提供几何条件,以使具有焦点平衡点的Liouville综合汉密尔顿系统的积分映射具有散射单曲。使用复杂的摩尔斯引理版本,我们表明散射单片与标准聚焦对焦系统的散射单构型相同。

In this paper we give geometric conditions so that the integral mapping of a Liouville integrable Hamiltonian system with a focus-focus equilibrium point has scattering monodromy. Using a complex version of the Morse lemma, we show that scattering monodromy is the same as the scattering monodromy of the standard focus-focus system.

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