5 papers · 1 filter
-Hodge theoretic construction of Frobenius manifolds for Calabi-Yau smooth projective hypersurfaces
Jeehoon Park, Jaewon Yoo
We provide a new -Hodge theoretic construction of a Frobenius manifold structure on the cohomology of a Calabi-Yau smooth projective hypersurface , using Li-Wen's -Hod…
Bounded Geometries on Hybrid Landau-Ginzburg models of Calabi-Yau complete intersections and -Hodge Theory
Jeehoon Park, Jaewon Yoo
Given a Calabi-Yau smooth projective complete intersection variety over , a hybrid Landau-Ginzburg (LG) model may be associated using the Cayley trick. This hybrid…
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…
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…
Twisted de Rham complex for toric Calabi-Yau complete intersections and flat -manifold structures
Jeehoon Park, Junyeong Park
We describe the primitive middle-dimensional cohomology of a compact simplicial toric complete intersection variety in terms of a twisted de Rham complex. Then this en…