# $A {infty}$-structures on an elliptic curve

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The main result of this paper is the proof of the -transversal part- of the homological mirror symmetry conjecture for an elliptic curve which states an equivalence of two $A {\infty}$-structures on the category of vector bundles on an elliptic curves. The proof is based on the study of $A {\infty}$-structures on the category of line bundles over a

Autor: Alexander Polishchuk

Fuente: https://archive.org/