The Gerstenhaber and Schack cohomology comparison theorem asserts that there is a
cochain equivalence between the Hochschild complex of a certain algebra and the usual …

arXiv:math/0612175v3 [math.CT] 31 May 2007 Page 1 arXiv:math/0612175v3 [math.CT] 31 May
2007 EQUALIZERS IN THE CATEGORY OF COCOMPLETE COCATEGORIES BERNHARD …

A bstract The minimality theorem states, in particular, that on cohomology H (A) of a dg
algebra there exists sequence of operations mi: H (A)⊗ i→ H (A), i= 2, 3,..., which form a …

THE HOCHSCHILD DIFFERENTIAL FOR GRADED MANIFOLDS AND LIE PAIRS Contents
1. Introduction 1 2. Graded manifolds and polydifferenti Page 1 THE HOCHSCHILD …

A chain complex model for the free loop space of a connected, closed and oriented manifold
is presented, and on its homology, the Gerstenhaber and Batalin-Vilkovisky algebra …

On the tensor product of two homotopy Gerstenhaber algebras we construct a Hirsch
algebra structure which extends the canonical dg algebra structure. Our result applies more …

We consider basic algebraic constructions associated with an abstract pre-opered, such as
a⌣-algebra, total composition•, pre-coboundary operator δ tribraces {·,·,·} and tetrabraces …

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∞ …

For a commutative Hopf algebra A over ℤ/p, where p is a prime integer, we define the
Steenrod operations pi in cyclic cohomology of A using a tensor product of a free resolution …

arXiv:math/0210259v3 [math.QA] 6 Mar 2003 Page 1 arXiv:math/0210259v3 [math.QA] 6 Mar
2003 OPERADS AND COHOMOLOGY L. Kluge and E. Paal Department of Mathematics …