3 citations · 8 across the 6 of their papers we have counts for
8 papers · 1 filter
Lifting holomorphic disks from flag varieties to basic affine spaces
Yoosik Kim
Let be a complex reductive algebraic group, the complexification of a compact Lie group . Consider a holomorphic principal -bundle whose total space contains a -invari…
Holomorphic disks and GIT quotients
Yoosik Kim
Let be a connected compact Lie group and let be its complexification. In this paper, we establish a correspondence between the moduli spaces of holomorphic disks b…
Chekanov torus and Gelfand--Zeitlin torus in
Yoosik Kim
The Chekanov torus was the first known \emph{exotic} torus, a monotone Lagrangian torus that is not Hamiltonian isotopic to the standard monotone Lagrangian torus. We explore the r…
-equivariant disc potentials for toric Calabi-Yau manifolds
Hansol Hong, Yoosik Kim, Siu-Cheong Lau +1
We study the equivariant disc potentials for immersed SYZ fibers in toric Calabi-Yau manifolds. The immersed Lagrangians play a crucial role in the partial compactification of the…
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…
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…