symmetric monoidal (∞,1)-category of spectra
The framed little $n$disk operad is an operad in chain complexes that whose $n$-ary operations come from embedding $n$-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 $H_{\bullet + d}(S X, \mathbb{Q})$ of the $n$-sphere space $S X = X^{S^n}$ of an oriented manifold $X$ of dimension $d$ naturally has the structure of a n-BV-algebra.
This appears as (CohenVoronov, theorem 5.3.3).
Section 5.3 of
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