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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2401.13603 |
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| _version_ | 1866910306896183296 |
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| author | Castronovo, Marco |
| author_facet | Castronovo, Marco |
| contents | Under simplified axioms on moduli spaces of pseudo-holomorphic curves, we show that weakly unobstructed Fukaya algebras of Floer-nontrivial Lagrangians in a compact symplectic manifold must have curvature in the spectrum of an operator introduced by Dubrovin, which acts on the big quantum cohomology. We use the example of the complex Grassmannian $\operatorname{Gr}(2,4)$ to illustrate a decoupling phenomenon, where the eigenvalues of finite energy truncations become simple under explicit bulk-deformations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_13603 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Curved Fukaya algebras and the Dubrovin spectrum Castronovo, Marco Symplectic Geometry Algebraic Geometry Under simplified axioms on moduli spaces of pseudo-holomorphic curves, we show that weakly unobstructed Fukaya algebras of Floer-nontrivial Lagrangians in a compact symplectic manifold must have curvature in the spectrum of an operator introduced by Dubrovin, which acts on the big quantum cohomology. We use the example of the complex Grassmannian $\operatorname{Gr}(2,4)$ to illustrate a decoupling phenomenon, where the eigenvalues of finite energy truncations become simple under explicit bulk-deformations. |
| title | Curved Fukaya algebras and the Dubrovin spectrum |
| topic | Symplectic Geometry Algebraic Geometry |
| url | https://arxiv.org/abs/2401.13603 |