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math.GT2025
Algebraic Mapping Class Group Rigidity
Seong Youn Kim
Let and be a connected oriented surface of genus with punctures. The -character variety of 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 -invariant, of periodic lemniscate motions in Euler's two-center problem.