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Generalized connected sum formula for the Arnold invariants of generic plane curves

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Abstract 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 ± and St… Click to show full abstract

Abstract 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 ± and St behave under the generalized connected sums.

Keywords: generalized connected; sum formula; arnold invariants; plane curves; connected sum

Journal Title: Topology and its Applications
Year Published: 2019

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