Jongmyeong Kim

activity

20202023

most citedEntropy of the composition of two spherical twists

3 citations · 6 across the 10 of their papers we have counts for

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4 papers · 1 filter

math.SG2023★ 1 cited

Calabi-Yau structures on Rabinowitz Fukaya categories

Hanwool Bae, Wonbo Jeong, Jongmyeong Kim

In this paper, we prove that the derived Rabinowitz Fukaya category of a Liouville domain $M$ of dimension $2 n$ is $(n - 1)$ -Calabi--Yau assuming the wrapped Fukaya category of $M$ a…

math.SG2022

Cluster categories from Fukaya categories

Hanwool Bae, Wonbo Jeong, Jongmyeong Kim

We show that the derived wrapped Fukaya category $D^{π} W (X_{Q}^{d + 1})$ , the derived compact Fukaya category $D^{π} F (X_{Q}^{d + 1})$ and the cocore disks $L_{Q}$ of th…

math.SG2022

Categorical entropy, (co-)t-structures and ST-triples

Jongmyeong Kim

In this paper, we study a dynamical property of an exact endofunctor $Φ : D \to D$ of a triangulated category $D$ . In particular, we are interested in…

math.SG2020

Systolic inequalities, Ginzburg dg algebras and Milnor fibers

Jongmyeong Kim

We prove categorical systolic inequalities for the derived categories of 2-Calabi--Yau Ginzburg dg algebras associated to ADE quivers and explore their symplecto-geometric aspects.