… Hochschild complex of the ℰ -algebra Φ with respect to i as the standard Hochschild complex
… (Note also that our higher degree cycles live in components of arbitrarily high genus and …

… of PROPs of natural operations on the pair (C∗(A),C∗ … operations on cyclic chains from
operations on Hochschild chains. … end construction we define the complex of formal operations …

… We then prove that the Hochschild complex construction … of operations and cooperations on
the Hochschild complex, which … constructions here to higher-order Hochschild complexes, in …

… Hochschild complex. We discuss several other aspects such as “time reversal” duality and
several homotopies of operations … to the reduced Hochschild complex, one automatically …

… actions of the mapping class groups of higher genus surfaces, is beyond the scope of this …
as a unary little bundles operation, commutes with every little bundles operation oW Cg !Ch …

… constructing explicit and natural operations on the Hochschild complex of algebras over any
… from the compactification, with non-trivial higher operations existing already on H ⁎ ( L S n ) …

… In particular, it gives the correct (derived) weight structure on the mixed complex given by
the standard Hochschild complex which allows to interpret derived closed forms in symplectic …

… the Hochschild cohomology of a diagram of algebras is a Gerstenhaber algebra. I also show
that the total complex is … as an L ∞ -algebra whose higher operations happen to vanish. The …

… interplay between the Hochschild complex and the Dold-… Hochschild complex of a
commutative Hopf algebra. In the second paper we study the functoriality of the Hochschild complex …

… derived de Rham complex and Hochschild homology together with its Hochschild–Kostant–…
Throughout the paper, we use the language of higher category theory and higher algebra …