K. Eum

collaborators

5 papers

math-ph2026

Moore--Read construction and explicit monodromies of Laughlin states on Riemann surfaces

Kiyoon Eum

We revisit the Moore--Read construction of the $ν = 1/ k$ Laughlin states on compact Riemann surfaces, deriving their conformal blocks from $U (1)_{k}$ Chern--Simons theory through the C…

math.DG2026

Asymptotic expansion of the variation of the Quillen metric and its moment map interpretation

Kiyoon Eum

In KÃ¤hler geometry, the Donaldson--Fujiki moment map picture interprets the scalar curvature of a KÃ¤hler metric as a moment map on the space of compatible almost complex structur…

math.DG2025

Partition functions of determinantal point processes on polarized KÃ¤hler manifolds

Kiyoon Eum

In this paper, we study the full asymptotic expansion of the partition functions of determinantal point processes defined on a polarized KÃ¤hler manifold. We show that the coeffici…

math.CV2025

Limiting behavior of determinantal point processes associated with weighted Bergman kernels

Kiyoon Eum

Let $I^c ◯$ be a bounded pseudoconvex domain in $C^{n}$ , and let $I ¨ $ be a strictly plurisubharmonic function on $I^c ◯$ . For each $k \in N$ , we consider determinantal poin…

math.CV2025

Approximation of plurisubharmonic functions by logarithms of Gaussian analytic functions

Kiyoon Eum

Let $I^c ◯$ be a bounded pseudoconvex domain in $C^{N}$ . Given a continuous plurisubharmonic function $u$ on $I^c ◯$ , we construct a sequence of Gaussian analytic functions $f_{n}$ …