We prove a conjecture of Kontsevich which states that if A is an Ed−1 algebra then the Hochschild cohomology object of A is the universal Ed algebra acting on A. The notion of an Ed algebra acting on an Ed−1 algebra was defined by Kontsevich using the swiss cheese operad of Voronov. The degree 0 and 1 pieces of the swiss cheese operad can be used to build a cofibrant model for A as an Ed−1 − A module. The theorem amounts to the fact that the swiss cheese operad is generated up to homotopy by its degree 0 and 1 pieces.
Abstract. We give a general method for constructing explicit and natural operations on the Hochschil...
In this thesis we compute the Hochschild cohomology H∗(A) of a certain type of algebras calledtoupie...
Let M be a closed orientable manifold of dimension d and C ∗(M) be the usual cochain algebra on M wi...
Working over a commutative ground ring, we establish a Hochschild cohomology criterion for uniquenes...
In the thesis we introduce and study cohomology theories of A∞-algebras. There are two theories: Ho...
Theoretical thesis.Bibliography: pages 49-50.1. Introduction -- 2. Background -- 3. Result in (Cat,×...
International audienceWe show that the singular Hochschild cohomology (=Tate-Hochschild coho-mology)...
Swiss cheese sets have been used in the literature as useful examples in the study of rational appro...
Thesis (Ph.D.)--University of Washington, 2015The Hochschild cohomology $HH^\bullet(A)$ of an algebr...
Abstract. We define and study the cohomology theories associated to A∞–algebras and cyclic A∞–algebr...
In a first part, we study Voronov’s "Swiss-Cheese" operad SC2, which governs the action of a D2-alge...
This thesis splits into two halves, the connecting theme being Koszul duality. The first part concer...
Dans une première partie, nous étudions l’opérade SC2 "Swiss-Cheese" de Voronov, qui gouverne l’acti...
Abstract. In this paper we study the homology of 2 versions of the swiss-cheese operad. We prove tha...
In this thesis we compute the Hochschild cohomology H∗(A) of a certain type of algebras calledtoupie...
Abstract. We give a general method for constructing explicit and natural operations on the Hochschil...
In this thesis we compute the Hochschild cohomology H∗(A) of a certain type of algebras calledtoupie...
Let M be a closed orientable manifold of dimension d and C ∗(M) be the usual cochain algebra on M wi...
Working over a commutative ground ring, we establish a Hochschild cohomology criterion for uniquenes...
In the thesis we introduce and study cohomology theories of A∞-algebras. There are two theories: Ho...
Theoretical thesis.Bibliography: pages 49-50.1. Introduction -- 2. Background -- 3. Result in (Cat,×...
International audienceWe show that the singular Hochschild cohomology (=Tate-Hochschild coho-mology)...
Swiss cheese sets have been used in the literature as useful examples in the study of rational appro...
Thesis (Ph.D.)--University of Washington, 2015The Hochschild cohomology $HH^\bullet(A)$ of an algebr...
Abstract. We define and study the cohomology theories associated to A∞–algebras and cyclic A∞–algebr...
In a first part, we study Voronov’s "Swiss-Cheese" operad SC2, which governs the action of a D2-alge...
This thesis splits into two halves, the connecting theme being Koszul duality. The first part concer...
Dans une première partie, nous étudions l’opérade SC2 "Swiss-Cheese" de Voronov, qui gouverne l’acti...
Abstract. In this paper we study the homology of 2 versions of the swiss-cheese operad. We prove tha...
In this thesis we compute the Hochschild cohomology H∗(A) of a certain type of algebras calledtoupie...
Abstract. We give a general method for constructing explicit and natural operations on the Hochschil...
In this thesis we compute the Hochschild cohomology H∗(A) of a certain type of algebras calledtoupie...
Let M be a closed orientable manifold of dimension d and C ∗(M) be the usual cochain algebra on M wi...