$J^+$-like Invariants under Bifurcations

Author name not available (Why is that?)

Publication date: 6 October 2022

Abstract: We explore how the invariants

J^{+}

,

J^{-}

,

m a t h c a l J_{1}

and

m a t h c a l 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 g e 2 i n m a t h b b N

), which are constructed by running

k

times through an immersion and then perturbing it to be generic.

Has companion code repository: https://gitlab.com/cptmaister/bachelorthesis

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