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A Remark on the Topology of the Regular Loci of Some Complexified Hamiltonian Systems

Liu, Zhiyuan
arXiv (All) · Papers
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37j35algebraic-topologydynamical-systemssymplectic-geometry
We study the topology of the regular loci of two complexified Hamiltonian integrable systems using the Zariski-van Kampen method. In particular, we show that the fundamental group of the regular locus for the complexified planar Kepler problem is $\mathbf{F}_2\rtimes\mathbb{Z}$ where the action of t
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