Framed Discs Operads and Batalin–Vilkovisky Algebras

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Fukaya A∞-structures Associated to Lefschetz Fibrations. II (2014, background): “rom the second point framing rotates, always pointing Figure 7. The BV operator (6.1H) and the bracket (6.7H). 6. Framed configuration spaces The little disc operad can be enlarged by adding framings [13, 35]. The aim of this section is to extend the previous discussion to the framed context, and to”
Batalin-Vilkovisky algebras and cyclic cohomology of Hopf algebras (2003, background): “IfH is cocommutative, this operad is symmetric and coincides with the semi-direct product Ass oH as dened by Salvatore and Wahl [ 15 ].”
Equivariant iterated loop space theory and permutative G–categories (2012, unknown): “A very different and very interesting equivariant recognition principle was proven by Salvatore and Wahl [42].”
Generalized string topology operations (2006, background): “We recall that a n-algebra (see [18]) is an algebra over the operad H∗(Cn,Q).”
Factorization homology of topological manifolds (2012, background): “These are both equivalent to the PROP associated to the unoriented version of the ribbon, or ‘framed’, En operad; see [40] for a treatment of this operad.”