26 citations · 70 across the 33 of their papers we have counts for
4 papers · 1 filter
Hamiltonian circle action with self-indexing moment map
Yunhyung Cho, Min Kyu Kim
Let be a -dimensional smooth compact symplectic manifold equipped with a Hamiltonian circle action with only isolated fixed points and let be a co…
Hard Lefschetz Property for Hamiltonian torus actions on 6-dimensional GKM manifolds
Yunhyung Cho, Min Kyu Kim
In this paper, we study the hard Lefschetz property of a symplectic manifold which admits a Hamiltonian torus action. More precisely, let be a 6-dimensional compact symplec…
Unimodality of the Betti numbers for Hamiltonian circle action with isolated fixed points
Yunhyung Cho, Min Kyu Kim
Let be an eight-dimensional closed symplectic manifold equipped with a Hamiltonian circle action with only isolated fixed points. In this article, we will show that the Bet…
An example of circle actions on symplectic Calabi-Yau manifolds with non-empty fixed points
Yunhyung Cho, Min Kyu Kim
Let be a compact Kähler Calabi-Yau manifold equipped with a symplectic circle action. By Frankel's theorem \cite{F}, the action on is non-Hamiltonian and does not…