45 citations · 240 across the 30 of their papers we have counts for
5 papers · 1 filter
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…
Asymptotic behavior of Vianna's exotic Lagrangian tori in as
Weonmo Lee, Yong-Geun Oh, Renato Vianna
In this paper, we study various asymptotic behavior of the infinite family of monotone Lagrangian tori in associated to Markov triples describ…
Formality of Floer complex of the ideal boundary of hyperbolic knot complement
Youngjin Bae, Seonhwa Kim, Yong-Geun Oh
This is a sequel to the authors' article [BKO](arXiv:1901.02239). We consider a hyperbolic knot in a closed 3-manifold and the cotangent bundle of its complement $M \setmin…
A wrapped Fukaya category of knot complement
Youngjin Bae, Seonhwa Kim, Yong-Geun Oh
This is the first of a series of two articles where we construct a version of wrapped Fukaya category of the cotangent bundle $T^*(M \s…