Seongchan Kim

activity

20222025

collaborators

4 papers

math.GT2025

Algebraic Mapping Class Group Rigidity

Seong Youn Kim

Let $g, n \geq 0$ and $Σ = Σ_{g, n}$ be a connected oriented surface of genus $g$ with $n$ punctures. The $SL_{2}$ -character variety of $Σ$ has a rigid relative automorphism…

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.DS2024

Transverse foliations for two-degree-of-freedom mechanical systems

Naiara V. de Paulo, Seongchan Kim, Pedro A. S. Salomão +1

We investigate the dynamics of a two-degree-of-freedom mechanical system for energies slightly above a critical value. The critical set of the potential function is assumed to cont…

math.SG2022

Genus zero transverse foliations for weakly convex Reeb flows on the tight $3$ -sphere

Naiara V. de Paulo, Umberto Hryniewicz, Seongchan Kim +1

A contact form on the tight $3$ -sphere $(S^{3}, ξ_{0})$ is called weakly convex if the Conley-Zehnder index of every Reeb orbit is at least $2$ . In this article, we study Reeb flows of…

Algebraic Mapping Class Group Rigidity

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

Transverse foliations for two-degree-of-freedom mechanical systems

Genus zero transverse foliations for weakly convex Reeb flows on the tight 3-sphere

Genus zero transverse foliations for weakly convex Reeb flows on the tight $3$ -sphere