Jeehoon Park

activity

20232026

collaborators

8 papers

math.NT2026

Arithmetic BF theory and the Cassels-Tate pairing

Jeehoon Park, Junyeong Park

We give a systematic treatment of the arithmetic BF theory, introduced by Carlson and Kim. We observe that the Cassels-Tate pairing can be naturally interpreted as an arithmetic BF…

math.AG2025

$L^{2}$ -Hodge theoretic construction of Frobenius manifolds for Calabi-Yau smooth projective hypersurfaces

Jeehoon Park, Jaewon Yoo

We provide a new $L^{2}$ -Hodge theoretic construction of a Frobenius manifold structure on the cohomology of a Calabi-Yau smooth projective hypersurface $V$ , using Li-Wen's $L^{2}$ -Hod…

math.AG2025

Bounded Geometries on Hybrid Landau-Ginzburg models of Calabi-Yau complete intersections and $L^{2}$ -Hodge Theory

Jeehoon Park, Jaewon Yoo

Given a Calabi-Yau smooth projective complete intersection variety $V$ over $C$ , a hybrid Landau-Ginzburg (LG) model may be associated using the Cayley trick. This hybrid…

math.AG2025

Comparison of Frobenius algebra structures on Calabi-Yau toric hypersurfaces

Jeehoon Park, Philsang Yoo

We establish an isomorphism between two Frobenius algebra structures, termed CY and LG, on the primitive cohomology of a smooth Calabi--Yau hypersurface in a simplicial Gorenstein…

math.AG2024

Algebraic description of complex conjugation on cohomology of a smooth projective hypersurface

Jeehoon Park, Junyeong Park, Philsang Yoo

We describe complex conjugation on the primitive middle-dimensional algebraic de Rham cohomology of a smooth projective hypersurface defined over a number field that admits a real…

math.AG2023

Twisted de Rham complex for toric Calabi-Yau complete intersections and flat $F$ -manifold structures

Jeehoon Park, Junyeong Park

We describe the primitive middle-dimensional cohomology $H$ of a compact simplicial toric complete intersection variety in terms of a twisted de Rham complex. Then this en…

math.NT2023

BF path integrals for elliptic curves and $p$ -adic $L$ -functions

Jeehoon Park, Junyeong Park

We prove an arithmetic path integral formula for the inverse $p$ -adic absolute values of the $p$ -adic $L$ -functions of elliptic curves over the rational numbers with good ordinary…

math.NT2023

Modular Symbols with Values in Beilinson-Kato Distributions

Cecilia Busuioc, Jeehoon Park, Owen Patashnick +1

For each integer $n \geq 1$ , we construct a $GL_{n} (Q)$ -invariant modular symbol $ξ_{n}$ with coefficients in a space of distributions that takes values in the…

Arithmetic BF theory and the Cassels-Tate pairing

L2-Hodge theoretic construction of Frobenius manifolds for Calabi-Yau smooth projective hypersurfaces

Bounded Geometries on Hybrid Landau-Ginzburg models of Calabi-Yau complete intersections and L2-Hodge Theory

Comparison of Frobenius algebra structures on Calabi-Yau toric hypersurfaces

Algebraic description of complex conjugation on cohomology of a smooth projective hypersurface

Twisted de Rham complex for toric Calabi-Yau complete intersections and flat F-manifold structures

BF path integrals for elliptic curves and p-adic L-functions

Modular Symbols with Values in Beilinson-Kato Distributions

$L^{2}$ -Hodge theoretic construction of Frobenius manifolds for Calabi-Yau smooth projective hypersurfaces

Bounded Geometries on Hybrid Landau-Ginzburg models of Calabi-Yau complete intersections and $L^{2}$ -Hodge Theory

Twisted de Rham complex for toric Calabi-Yau complete intersections and flat $F$ -manifold structures

BF path integrals for elliptic curves and $p$ -adic $L$ -functions