Homological mirror symmetry with higher products
| dc.creator | Polishchuk, Alexander | |
| dc.date | 1999-01-06 | |
| dc.date | 1999-11-17 | |
| dc.date.accessioned | 2026-07-07T05:27:28Z | |
| dc.date.available | 2026-07-07T05:27:28Z | |
| dc.description | We construct an $A_{\infty}$-structure on the Ext-groups of hermitian holomorphic vector bundles on a compact complex manifold. We propose a generalization of the homological mirror conjecture due to Kontsevich. Namely, we conjecture that for mirror dual Calabi-Yau manifolds $M$ and $X$ there exists an $A_{\infty}$-functor from Fukaya's symplectic $A_{\infty}$-category of $M$ to the $A_{\infty}$-derived category of $X$ which is a homotopy equivalence on morphisms. We verify the part of this conjecture concering triple products for elliptic curves. | |
| dc.description | AMSLatex, 13 pages, the final version | |
| dc.identifier | https://arxiv.org/abs/math/9901025 | |
| dc.identifier | http://arxiv.org/abs/math/9901025 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77932 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Homological mirror symmetry with higher products | |
| dc.type | text |