English

Coloured Koszul duality and strongly homotopy operads

Quantum Algebra 2007-05-23 v2 Algebraic Topology

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.

Keywords

Cite

@article{arxiv.math/0312147,
  title  = {Coloured Koszul duality and strongly homotopy operads},
  author = {Pepijn van der Laan},
  journal= {arXiv preprint arXiv:math/0312147},
  year   = {2007}
}

Comments

17 pages, 4 figures. V2: minor corrections

R2 v1 2026-07-22T17:00:30.610Z