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Coloured Koszul duality and strongly homotopy operads

Pepijn van der Laan
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Abstract

This paper proves Koszul duality for coloured operads and uses it to introduce strongly homotopy operads as a suitable homotopy invariant version of operads. It shows that rational chains on configuration spaces of points in the plane form a strongly homotopy operad quasi isomorphic to the chains on the little disks operad.

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Pepijn van der Laan. 2004-04-20. Coloured Koszul duality and strongly homotopy operads. https://arxiv.org/abs/math/0312147

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