Yoosik Kim

collaborators

4 papers

math.AG2026

Newton--Okounkov bodies of partial flag varieties via cluster algebras

Yunhyung Cho, Myungho Kim, Yoosik Kim +1

We construct Newton--Okounkov polytopes of Schubert varieties in partial flag varieties of arbitrary type using the cluster structure on a unipotent cell. When the governing cluste…

math.SG2026

Holomorphic disks and GIT quotients

Yoosik Kim

Let $G$ be a connected compact Lie group and let $G$ be its complexification. In this paper, we establish a correspondence between the moduli spaces of holomorphic disks b…

math.SG2025

Cluster algebras and monotone Lagrangian tori

Yunhyung Cho, Myungho Kim, Yoosik Kim +1

Motivated by the construction of Newton--Okounkov bodies and toric degenerations via cluster algebras in [GHKK18, FO25], we consider a family of Newton--Okounkov polytopes of a com…

math.SG2025

$T$ -equivariant disc potential and SYZ mirror construction

Yoosik Kim, Siu-Cheong Lau, Xiao Zheng

We develop a $G$ -equivariant Lagrangian Floer theory and obtain a curved $A_{\infty}$ algebra, and in particular a $G$ -equivariant disc potential. We construct a Morse model, which c…

Newton--Okounkov bodies of partial flag varieties via cluster algebras

Holomorphic disks and GIT quotients

Cluster algebras and monotone Lagrangian tori

T-equivariant disc potential and SYZ mirror construction

$T$ -equivariant disc potential and SYZ mirror construction