Yunhyung Cho

activity

20102026

most citedOn the f-vectors of Gelfand-Cetlin polytopes

26 citations · 70 across the 33 of their papers we have counts for

collaborators

Showing 2019Show all

8 papers · 1 filter

math.SG2019

Classification of six dimensional monotone symplectic manifolds admitting semifree circle actions

Yunhyung Cho

Let $(M, ω_{M})$ be a six dimensional closed monotone symplectic manifold admitting an effective semifree Hamiltonian $S^{1}$ -action. We show that $(M, ω_{M})$ is $S^{1}$ -equivariant symplec…

math.AG2019★ 1 cited

Small toric resolutions of toric varieties of string polytopes with small indices

Yunhyung Cho, Yoosik Kim, Eunjeong Lee +1

Let $G$ be a semisimple algebraic group over $C$ . For a reduced word $i$ of the longest element in the Weyl group of $G$ and a dominant integral weight $λ$ , one can co…

math.SG2019★ 3 cited

A critical point analysis of Landau--Ginzburg potentials with bulk in Gelfand--Cetlin systems

Yunhyung Cho, Yoosik Kim, Yong-Geun Oh

Using the bulk-deformation of Floer cohomology by Schubert cycles and non-Archimedean analysis of Fukaya--Oh--Ohta--Ono's bulk-deformed potential function, we prove that every comp…

math.SG2019

Remark on the Betti numbers for Hamiltonian circle actions

Yunhyung Cho

In this paper, we establish a certain inequality in terms of Betti numbers of a closed Hamiltonian $S^{1}$ -manifold with isolated fixed points.

math.SG2019

Lagrangian fibers of Gelfand-Cetlin systems

Yunhyung Cho, Yoosik Kim, Yong-Geun Oh

A Gelfand-Cetlin system is a completely integrable system defined on a partial flag manifold whose image is a rational convex polytope called a Gelfand-Cetlin polytope. Motivated b…

math.SG2019

Classification of six dimensional monotone symplectic manifolds admitting semifree circle actions III

Yunhyung Cho

In this paper, we complete the classification of six-dimensional closed monotone symplectic manifolds admitting semifree Hamiltonian $S^{1}$ -actions. We also show that every such man…

math.SG2019

Classification of six dimensional monotone symplectic manifolds admitting semifree circle actions II

Yunhyung Cho

Let $(M, ω_{M})$ be a six dimensional closed monotone symplectic manifold admitting an effective semifree Hamiltonian $S^{1}$ -action. We show that if the maximal and the minimal fixed c…

math.CO2019★ 3 cited

On the combinatorics of string polytopes

Yunhyung Cho, Yoosik Kim, Eunjeong Lee +1

For a reduced word $i$ of the longest element in the Weyl group of $SL_{n + 1} (C)$ , one can associate the string cone $C_{i}$ which parametrizes the dual…