Open enumerative geometries for Landau-Ginzburg models
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866912902552748032 |
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| author | Gross, Mark Kelly, Tyler L. Tessler, Ran J. |
| author_facet | Gross, Mark Kelly, Tyler L. Tessler, Ran J. |
| contents | We survey the recent progress in defining open enumerative theories for Landau-Ginzburg models. We illustrate the ideas required to develop these new foundations. In particular, we describe how to define the open enumerative invariants as integrals of multisections of certain vector bundles over a moduli space that is a real orbifold with corners, after prescribing boundary conditions for the multisections. We then explain the known situations where the open invariants satisfy certain forms of topological recursion relations, integrable hierarchies, or mirror symmetry. We end with a list of open questions and problems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_12707 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Open enumerative geometries for Landau-Ginzburg models Gross, Mark Kelly, Tyler L. Tessler, Ran J. Algebraic Geometry High Energy Physics - Theory Mathematical Physics Symplectic Geometry 14J33, 14N35, 53D45, 53D37, 14H15, 37K10 We survey the recent progress in defining open enumerative theories for Landau-Ginzburg models. We illustrate the ideas required to develop these new foundations. In particular, we describe how to define the open enumerative invariants as integrals of multisections of certain vector bundles over a moduli space that is a real orbifold with corners, after prescribing boundary conditions for the multisections. We then explain the known situations where the open invariants satisfy certain forms of topological recursion relations, integrable hierarchies, or mirror symmetry. We end with a list of open questions and problems. |
| title | Open enumerative geometries for Landau-Ginzburg models |
| topic | Algebraic Geometry High Energy Physics - Theory Mathematical Physics Symplectic Geometry 14J33, 14N35, 53D45, 53D37, 14H15, 37K10 |
| url | https://arxiv.org/abs/2602.12707 |