Coloured Koszul duality and strongly homotopy operads
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.
- Publication:
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arXiv Mathematics e-prints
- Pub Date:
- December 2003
- DOI:
- arXiv:
- arXiv:math/0312147
- Bibcode:
- 2003math.....12147V
- Keywords:
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- Quantum Algebra;
- Algebraic Topology
- E-Print:
- 17 pages, 4 figures. V2: minor corrections