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arXiv · 2603.21462

A perturbative algorithm for flat F-manifolds associated with Landau-Ginzburg models

Jeehoon Park·Jaewon Yoo
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Abstract

We develop a perturbative algorithm for constructing formal flat $F$-manifold structures on the cohomologies of dGBV (differential Gerstenhaber-Batalin-Vilkovisky) algebras associated with Landau-Ginzburg models. As an application, this approach provides a perturbative construction of formal flat $F$-manifold structures on two important objects: the Jacobian algebra of a homogeneous polynomial with an isolated singularity at the origin, and the primitive cohomology of smooth projective Calabi-Yau complete intersections.

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Jeehoon Park, Jaewon Yoo. 2026-03-23. A perturbative algorithm for flat F-manifolds associated with Landau-Ginzburg models. https://arxiv.org/abs/2603.21462

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