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- W96875419 abstract "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." @default.
- W96875419 created "2016-06-24" @default.
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- W96875419 date "1999-01-06" @default.
- W96875419 modified "2023-09-26" @default.
- W96875419 title "Homological mirror symmetry with higher products" @default.
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