Differential forms, open-closed maps, and Gromov-Witten axioms
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908524231000064 |
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| author | Giterman, Pavel Solomon, Jake P. Tukachinsky, Sara B. |
| author_facet | Giterman, Pavel Solomon, Jake P. Tukachinsky, Sara B. |
| contents | We construct open-closed maps on various versions of Hochschild and cyclic homology of the Fukaya $A_\infty$ algebra of a Lagrangian submanifold modeled on differential forms. The $A_\infty$ algebra may be curved. Properties analogous to Gromov-Witten axioms are verified. The paper is written with applications in mind to gravitational descendants and obstruction theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_06034 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Differential forms, open-closed maps, and Gromov-Witten axioms Giterman, Pavel Solomon, Jake P. Tukachinsky, Sara B. Symplectic Geometry High Energy Physics - Theory Algebraic Geometry 53D37, 53D45 (Primary) 19D55, 58A10, 32Q65 (Secondary) We construct open-closed maps on various versions of Hochschild and cyclic homology of the Fukaya $A_\infty$ algebra of a Lagrangian submanifold modeled on differential forms. The $A_\infty$ algebra may be curved. Properties analogous to Gromov-Witten axioms are verified. The paper is written with applications in mind to gravitational descendants and obstruction theory. |
| title | Differential forms, open-closed maps, and Gromov-Witten axioms |
| topic | Symplectic Geometry High Energy Physics - Theory Algebraic Geometry 53D37, 53D45 (Primary) 19D55, 58A10, 32Q65 (Secondary) |
| url | https://arxiv.org/abs/2509.06034 |