A Koszul duality for props

Mathematics – Algebraic Topology

Scientific paper

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Last version before publication in Transactions of the A.M.S (statement about the properad of involutive Lie bialgebras remove

Scientific paper

10.1090/S0002-9947-07-04182-7

The notion of prop models the operations with multiple inputs and multiple
outpus, acting on some algebraic structures like the bialgebras or the Lie
bialgebras. In this paper, we generalize the Koszul duality theory of
associative algebras and operads to props.

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