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math.QA2002
Categories of holomorphic vector bundles on noncommutative two-tori
Alexander Polishchuk, Albert Schwarz
In this paper we study the category of standard holomorphic vector bundles on a noncommutative two-torus. We construct a functor from the derived category of such bundles to the de…
hep-th2002
Noncommutative supergeometry, duality and deformations
Albert Schwarz
We introduce a notion of -algebra that can be considered as a generalization of the notion of -manifold (a supermanifold equipped with an odd vector field obeying $\{Q,Q\} =0…