symmetric monoidal (∞,1)-category of spectra
The framed little -disk operad is an operad in chain complexes that whose -ary operations come from embedding -dimensional disks in a larger one and rotating them. It is joint generalization of the little k-cubes operad and the framed little 2-disk operad.
The shifted rational singular homology of the -sphere space of an oriented manifold of dimension naturally has the structure of a n-BV-algebra.
This appears as (CohenVoronov, theorem 5.3.3).
Paolo Salvatore, Nathalie Wahl: Framed discs operads and Batalin-Vilkovisky algebras, The Quarterly Journal of Mathematics 54 2 (2003) 213–231 [pdf, doi:10.1093/qmath/hag012]
Ralph Cohen, Alexander Voronov, section 5.3 of: Notes on string topology (arXiv:math/0503625)
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