In this paper we complete the proof of Căldăraru's conjecture on the compatibility between
the module structures on differential forms over poly-vector fields and on Hochschild …

We generalize our results on Deligne's conjecture to prove the statement that the normalized
Hochschild co–chains of a finite–dimensional associative algebra with a non–degenerate …

We use chain-level genus-zero Gromov–Witten theory to associate to any closed monotone
symplectic manifold a formal group (loosely interpreted), whose Lie algebra is the odd …

Abstract top We shall give a survey of classical examples, together with algebraic methods
to deal with those structures: graded algebra, cohomologies, cohomology operations. The …

We develop new methods for computing the Hochschild (co) homology of monoids which
can be presented as the structure monoids of idempotent set-theoretic solutions to the Yang …

In this monograph, we extend S. Schwede's exact sequence interpretation of the
Gerstenhaber bracket in Hochschild cohomology to certain exact and monoidal categories …

Looking back over 55 years of higher homotopy structures, I reminisce as I recall the early
days and ponder how they developed and how I now see them. From the history of $ A_\infty …

The present paper is devoted to the study of Keller admissible triples. We prove that a Keller
admissible triple induces an isomorphism of Gerstenhaber algebras between the …

We give a topological solution to the A∞ Deligne conjecture using associahedra and
cyclohedra. To this end, we construct three CW complexes whose cells are indexed by …

The Cayley-Dickson process is used in connection with square array representations of the
Cayley-Dickson algebras. This involves an array operation on square arrays distinct from …