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arXiv · 2504.06694

Comparison of Frobenius algebra structures on Calabi-Yau toric hypersurfaces

Jeehoon Park·Philsang Yoo
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Abstract

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 toric Fano variety. As an application of our comparison isomorphism, we observe the existence of a Frobenius manifold structure on a finite-dimensional subalgebra of the Jacobian algebra of a homogeneous polynomial which may exhibit a non-compact singularity locus.

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Jeehoon Park, Philsang Yoo. 2025-04-09. Comparison of Frobenius algebra structures on Calabi-Yau toric hypersurfaces. https://arxiv.org/abs/2504.06694

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