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## Feynman transform and cohomological field theories

math. HAL. hal.archives-ouvertes.fr (CNRS), 2018. No. 01804639.
The construction from [B06], see also [B10], of cohomology classes of compactified moduli spaces of Riemann surfaces, starting from a derivation of associative whose square is nonzero, is generalized to the case of A-infinity algebras. It is shown that the constructed cohomology classes define Cohomological Field Theory.