Coloured Koszul duality and strongly homotopy operads
arXiv:math/0312147
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.
17 pages, 4 figures. V2: minor corrections