Jeehoon Park

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math.AG2026

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

$L^{2}$ -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

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…

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

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

Comparison of Frobenius algebra structures on Calabi-Yau toric hypersurfaces

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

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