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Classification of holomorphic vector bundles on noncommutative two-tori

Classification of holomorphic vector bundles on noncommutative two-tori

We prove that every holomorphic vector bundle on a noncommutative two-torus T can be obtained by successive extensions from standard holomorphic bundles considered in [2]. This implies that the category of holomorphic bundles on T is equivalent to the heart of a certain t -structure on the derived category of …