@article{fb097ab0d6b511dd9473000ea68e967b,
title = "Framed discs operads and Batalin-Vilkovisky algebras",
abstract = "The framed n-discs operad fD_n is studied as semidirect product of SO(n) and the little n-discs operad. Our equivariant recognition principle says that a grouplike space acted on by fD_n is equivalent to the n-fold loop space on a SO(n)-space. Examples of fD_2-spaces are nerves of ribbon braided monoidal categories. We compute the rational homology of fD_n. Koszul duality for semidirect product operads of chain complexes is defined and applied to compute the double loop space homology as BV-algebra.",
author = "Paolo Salvatore and Nathalie Wahl",
note = "Keywords: math.AT; math.QA; 55P48; 18D10",
year = "2003",
language = "English",
volume = "54",
pages = "213--231",
journal = "Quarterly Journal of Mathematics",
issn = "0033-5606",
publisher = "Oxford University Press",
}