Coloured Koszul duality and strongly homotopy operads

Details Coloured Koszul duality and strongly homotopy operads Coloured Koszul duality and strongly homotopy operads

2003-12-07

arxiv.org/abs/math/0312147v2

Mathematics

Quantum Algebra

17 pages, 4 figures. V2: minor corrections

Scientific paper

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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