The Koszul complex is the cotangent complex

Published 1 Apr 2010 in math.AT and math.KT | (1004.0096v1)

Abstract: We extend the Koszul duality theory of associative algebras to algebras over an operad. Recall that in the classical case, this Koszul duality theory relies on an important chain complex: the Koszul complex. We show that the cotangent complex, involved in the cohomology theory of algebras over an operad, generalizes the Koszul complex.

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Joan Milles

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