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J^+-invariants for planar two-center Stark-Zeeman systems

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arxiv 1910.04570 v2 pith:4I22WT6N submitted 2019-10-10 math.DS

J^+-invariants for planar two-center Stark-Zeeman systems

Kai Cieliebak , Urs Frauenfelder , Lei Zhao This is my paper
classification math.DS
keywords constructioninvariantsplanarstark-zeemansystemstwo-centeranalyzebirkhoff
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In this paper, we introduce the notion of planar two-center Stark- Zeeman systems and define four J+-like invariants for their periodic orbits. The construction is based on a previous construction for planar one-center Stark-Zeeman system in [Cieliebak-Frauenfelder-van Koert 2017] as well as Levi-Civita and Birkhoff regularizations. We analyze the relationship among these invariants and show that they are largely independent, based on a new construction called interior connected sum.

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