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arXiv · 2210.02968

$J^+$-like Invariants under Bifurcations

Alexander Mai
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Abstract

We explore how the invariants $J^+$, $J^-$, $\mathcal{J}_1$ and $\mathcal{J}_2$ of immersions -- generic (at most double points and only transverse intersections) planar smooth closed curves with non-vanishing derivative -- change under $k$-bifurcations ($k \ge 2 \in \mathbb{N}$), which are constructed by running $k$ times through an immersion and then perturbing it to be generic.

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Alexander Mai. 2022-10-06. $J^+$-like Invariants under Bifurcations. https://arxiv.org/abs/2210.02968

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