• Corpus ID: 227053903

# 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}
}
• Published 19 November 2020
• Mathematics
• arXiv: Algebraic Geometry
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 $\mathcal{A… ## Tables from this paper ## References SHOWING 1-10 OF 30 REFERENCES The paper studies three classes of Frobenius manifolds: Quantum Cohomology (topological sigma-models), unfolding spaces of singularities (K. Saito's theory, Landau-Ginzburg models), and the recent This paper is about algebro-geometrical structures on a moduli space$\CM\$ of anomaly-free BV QFTs with finite number of inequivalent observables or in a finite superselection sector. We show that
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the filtration F on Ox' The right hand side of (*) was first studied J f by Brieskorn [B] and we call it the Brieskorn lattice of M, and denote it by Mo. In fact, he defined the regular singular
Let p be a prime number, a2 the completion of the algebraic closure of the field of rational p-adic numbers and let A be the residue class field of Q. The field A is the algebraic closure of its
• Mathematics
• 1997
We construct a generalization of the variations of Hodge structures on Calabi-Yau manifolds. It gives a Mirror partner for the theory of genus=0 Gromov-Witten invariants