Orbifold Kodaira-Spencer maps and closed-string mirror symmetry for punctured Riemann surfaces
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866911222142599168 |
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| author | Hong, Hansol Jin, Hyeongjun Lee, Sangwook |
| author_facet | Hong, Hansol Jin, Hyeongjun Lee, Sangwook |
| contents | When a Weinstein manifold admits an action of a finite abelian group, we propose its mirror construction following the equivariant TQFT-type construction, and obtain as a mirror the orbifolding of the mirror of the quotient with respect to the induced dual group action. As an application, we construct an orbifold Landau-Ginzburg mirror of a punctured Riemann surface given as an abelian cover of the pair-of-pants, and prove its closed-string mirror symmetry using the (part of) closed-open map twisted by the dual group action. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_14360 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Orbifold Kodaira-Spencer maps and closed-string mirror symmetry for punctured Riemann surfaces Hong, Hansol Jin, Hyeongjun Lee, Sangwook Symplectic Geometry 53D37, 53D40, 55N32 When a Weinstein manifold admits an action of a finite abelian group, we propose its mirror construction following the equivariant TQFT-type construction, and obtain as a mirror the orbifolding of the mirror of the quotient with respect to the induced dual group action. As an application, we construct an orbifold Landau-Ginzburg mirror of a punctured Riemann surface given as an abelian cover of the pair-of-pants, and prove its closed-string mirror symmetry using the (part of) closed-open map twisted by the dual group action. |
| title | Orbifold Kodaira-Spencer maps and closed-string mirror symmetry for punctured Riemann surfaces |
| topic | Symplectic Geometry 53D37, 53D40, 55N32 |
| url | https://arxiv.org/abs/2402.14360 |