I'm interested in the following construction. Start with derived category of coherent sheaves witch equivalent to derived category of representations of some dgalgebra. Quasiisomorphic dgalgebras gives the same "space" (or sheaves on "space") from derived point of view. So I regard $A_\infty$ algebras as natural data for derived noncommutative geometry. So, commutative algebraic constructions have counterparts on $A_\infty$ side. There are explicit description of localization, gluing, blowing up etc. for $A_\infty$ algebras? References are welcome, thanks.
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