Mirror symmetric Gamma conjecture for Fano and Calabi-Yau manifolds
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866915007937118208 |
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| author | Iritani, Hiroshi |
| author_facet | Iritani, Hiroshi |
| contents | The mirror symmetric Gamma conjecture roughly speaking says that the Gamma class of a manifold determines the asymptotics of (exponential) periods of the mirror. We recast the method in [Iri11] in a more general context and show that the mirror symmetric Gamma conjecture for a Fano manifold F implies, via Laplace transformation, that for the total space K_F of the canonical bundle or for anticanonical sections in F. More generally, we discuss the mirror symmetric Gamma conjecture for the total space of a sum of anti-nef line bundles over F or for nef complete intersections in F. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_15940 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Mirror symmetric Gamma conjecture for Fano and Calabi-Yau manifolds Iritani, Hiroshi Algebraic Geometry High Energy Physics - Theory Symplectic Geometry The mirror symmetric Gamma conjecture roughly speaking says that the Gamma class of a manifold determines the asymptotics of (exponential) periods of the mirror. We recast the method in [Iri11] in a more general context and show that the mirror symmetric Gamma conjecture for a Fano manifold F implies, via Laplace transformation, that for the total space K_F of the canonical bundle or for anticanonical sections in F. More generally, we discuss the mirror symmetric Gamma conjecture for the total space of a sum of anti-nef line bundles over F or for nef complete intersections in F. |
| title | Mirror symmetric Gamma conjecture for Fano and Calabi-Yau manifolds |
| topic | Algebraic Geometry High Energy Physics - Theory Symplectic Geometry |
| url | https://arxiv.org/abs/2307.15940 |