3 papers
math.GT2025
The Euler Class and Flux Homomorphisms under Non-Orientability
KyeongRo Kim, Shuhei Maruyama
For an orientable surface with an area form, there are two invariants of area-preserving dynamics, the flux homomorphism and the Calabi invariant. Tsuboi found a remarkable connect…
math.GT2025
Quasimorphisms on the group of density preserving diffeomorphisms of the Möbius band
KyeongRo Kim, Shuhei Maruyama
The existence of quasimorphisms on groups of homeomorphisms of manifolds has been extensively studied under various regularity conditions, such as smooth, volume-preserving, and sy…
math.GT2025
Matsumoto dichotomy on foliated -bundles
KyeongRo Kim, Hongjun Lee
Given an ergodic harmonic measure on a foliated circle bundle over a closed hyperbolic manifold, Matsumoto constructed a map from the fiber circle to the space of nonempty closed s…