Hanna Haeussler

collaborators

2 papers

math.DS2025

On invariants of families of lemniscate motions in the two-center problem

Hanna Haeussler, Seongchan Kim

We determine four topological invariants introduced by Cieliebak-Frauenfelder-Zhao, based on Arnold's $J^{+}$ -invariant, of periodic lemniscate motions in Euler's two-center problem.

math.DG2021

Generalization of Arnold's $J^{+}$ -invariant for pairs of immersions

Hanna Haeussler

This paper introduces the $J^{2 +}$ -invariant for oriented pairs of generic immersions. This invariant behaves like Arnold's $J^{+}$ -invariant for generic immersions as it is invarian…

On invariants of families of lemniscate motions in the two-center problem

Generalization of Arnold's J+-invariant for pairs of immersions

Generalization of Arnold's $J^{+}$ -invariant for pairs of immersions