# Smooth projective Calabi-Yau complete intersections and algorithms for their Frobenius manifolds and higher residue pairings

@article{Lee2020SmoothPC, title={Smooth projective Calabi-Yau complete intersections and algorithms for their Frobenius manifolds and higher residue pairings}, author={Younggi Lee and Jeehoon Park and Jaehyun Yim}, journal={arXiv: Algebraic Geometry}, year={2020} }

The goal of this article is to provide an explicit algorithmic construction of formal $F$-manifold structures, formal Frobenius manifold structures, and higher residue pairings on the primitive middle-dimensional cohomology $\mathbb{H}$ of a smooth projective Calabi-Yau complete intersection variety $X$ defined by homogeneous polynomials $G_1(\underline x), \dots, G_k(\underline x)$. Our main method is to analyze a certain dGBV (differential Gerstenhaber-Batalin-Vilkovisky) algebra $\mathcal{A…

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