Min Kyu Kim

activity

19992015

most citedOn extensions of representations for compact Lie groups

8 citations · 14 across the 14 of their papers we have counts for

collaborators

Showing math.SGShow all

7 papers · 1 filter

math.SG2013

Hamiltonian circle action with self-indexing moment map

Yunhyung Cho, Min Kyu Kim

Let $(M, ω)$ be a $2 n$ -dimensional smooth compact symplectic manifold equipped with a Hamiltonian circle action with only isolated fixed points and let $μ : M \to R$ be a co…

math.SG2013★ 1 cited

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 $(M, ω)$ be a 6-dimensional compact symplec…

math.SG2013

Unimodality of the Betti numbers for Hamiltonian circle action with isolated fixed points

Yunhyung Cho, Min Kyu Kim

Let $(M, ω)$ 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…

math.SG2013★ 1 cited

An example of circle actions on symplectic Calabi-Yau manifolds with non-empty fixed points

Yunhyung Cho, Min Kyu Kim

Let $(X, σ, J)$ be a compact Kähler Calabi-Yau manifold equipped with a symplectic circle action. By Frankel's theorem \cite{F}, the action on $X$ is non-Hamiltonian and $X$ does not…

math.SG2012★ 2 cited

Embedded surfaces for symplectic circle actions

Yunhyung Cho, Min Kyu Kim, Dong Youp Suh

The purpose of this article is to characterize symplectic and Hamiltonian circle actions on symplectic manifolds in terms of symplectic embeddings of Riemann surfaces. More precise…

math.SG2011

Log-concavity of complexity one Hamiltonian torus actions

Yunhyung Cho, Min Kyu Kim

Let $(M, ω)$ be a closed $2 n$ -dimensional symplectic manifold equipped with a Hamiltonian $T^{n - 1}$ -action. Then Atiyah-Guillemin-Sternberg convexity theorem implies that the image…