Sign up ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

I'm interested in the following construction. Start with derived category of coherent sheaves witch equivalent to derived category of representations of some dg-algebra. Quasi-isomorphic dg-algebras gives the same "space" (or sheaves on "space") from derived point of view. So I regard $A_\infty$ algebras as natural data for derived non-commutative 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.

share|cite|improve this question

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.