3 papers
math.AP2026
The fractional -Laplacian on hyperbolic spaces
Jongmyeong Kim, Minhyun Kim, Ki-Ahm Lee
We present three equivalent definitions of the fractional -Laplacian , , , with normalizing constants, on hyperbolic spaces. The expl…
math.AP2025
Harnack inequality for fractional Laplacian-type operators on hyperbolic spaces
Jongmyeong Kim, Minhyun Kim, Ki-Ahm Lee
We establish the Krylov--Safonov theory for a large class of nonlocal operators of order on hyperbolic spaces with curvature . We prove th…
math.SG2024
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 of dimension is -Calabi--Yau assuming the wrapped Fukaya category of a…