Generalized connected sum formula for the Arnold invariants of generic plane curves
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🧮 math.GT
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arnoldconnectedgeneralizedcurvesgenericinvariantsplanebehave
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We define the generalized connected sum for generic closed plane curves, generalizing the strange sum defined by Arnold, and completely describe how the Arnold invariants $J^{\pm}$ and $\mathit{St}$ behave under the generalized connected sums.
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