A perturbative algorithm for flat F-manifolds associated with Landau-Ginzburg models
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866912977895030784 |
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| author | Park, Jeehoon Yoo, Jaewon |
| author_facet | Park, Jeehoon Yoo, Jaewon |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_21462 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A perturbative algorithm for flat F-manifolds associated with Landau-Ginzburg models Park, Jeehoon Yoo, Jaewon Algebraic Geometry Quantum Algebra 14J32, 32S25, 14F25 (primary), 14J81, 14J33, 81T70 (secondary) 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. |
| title | A perturbative algorithm for flat F-manifolds associated with Landau-Ginzburg models |
| topic | Algebraic Geometry Quantum Algebra 14J32, 32S25, 14F25 (primary), 14J81, 14J33, 81T70 (secondary) |
| url | https://arxiv.org/abs/2603.21462 |