Add to ORKGAbstract: The Evens-Lu-Weinstein representation (QA,D) for a Lie algebroid A on a manifold M is studied in the transitive case. To consider at the same time non-oriented manifolds as well, this representation is slightly modified to (QorA,D or) by tensoring by orientation flat line bundle, QorA = QA⊗or (M) andDor = D⊗∂orA. It is shown that the induced cohomology pairing is nondegenerate and that the representation (QorA,D or) is the unique (up to isomorphy) line representation for which the top group of compactly supported cohomology is nontrivial. In the case of trivial Lie algebroid A = TM the theorem reduce to the following: the orientation flat bundle (or (M) , ∂or) is the unique (up to isomorphy) flat line bundle (ξ,∇) for which the tw...
A classical principle in deformation theory asserts that any formal deformation problem is controlle...
AbstractA VB-algebroid is essentially defined as a Lie algebroid object in the category of vector bu...
We show that a double Lie algebroid, together with a chosen decomposition, is equivalent to a pair o...
Abstract. The Evens-Lu-Weinstein representation (QA, D) for a Lie alge-broid A on a manifold M is st...
Abstract. The Evans-Lu-Weinstein representation (QA, D) for a Lie alge-broid A on a manifold M is st...
We introduce and study the notion of representation up to homotopy of a Lie algebroid, paying specia...
In this thesis we study the cyclic theory of universal enveloping algebras of Lie algebroids. Lie al...
We introduce and study the notion of representation up to homotopy of a Lie algebroid, paying specia...
AbstractThe authors define some secondary characteristic homomorphism for the triple (A,B,∇), in whi...
The following two homotopic notions are important in many domains of differential geometry: - homoto...
The Weil-Kostant theorem characterises those alternating (real-valued) 2-forms which are curvature f...
We introduce conformal Courant algebroids, a mild generalization of Courant algebroids in which only...
A Q-algebroid is a graded Lie algebroid equipped with a compatible homological vector field and is t...
A Q-algebroid is a graded Lie algebroid equipped with a compatible homological vector field and is t...
We introduce conformal Courant algebroids, a mild generalization of Courant algebroids in which only...
A classical principle in deformation theory asserts that any formal deformation problem is controlle...
AbstractA VB-algebroid is essentially defined as a Lie algebroid object in the category of vector bu...
We show that a double Lie algebroid, together with a chosen decomposition, is equivalent to a pair o...
Abstract. The Evens-Lu-Weinstein representation (QA, D) for a Lie alge-broid A on a manifold M is st...
Abstract. The Evans-Lu-Weinstein representation (QA, D) for a Lie alge-broid A on a manifold M is st...
We introduce and study the notion of representation up to homotopy of a Lie algebroid, paying specia...
In this thesis we study the cyclic theory of universal enveloping algebras of Lie algebroids. Lie al...
We introduce and study the notion of representation up to homotopy of a Lie algebroid, paying specia...
AbstractThe authors define some secondary characteristic homomorphism for the triple (A,B,∇), in whi...
The following two homotopic notions are important in many domains of differential geometry: - homoto...
The Weil-Kostant theorem characterises those alternating (real-valued) 2-forms which are curvature f...
We introduce conformal Courant algebroids, a mild generalization of Courant algebroids in which only...
A Q-algebroid is a graded Lie algebroid equipped with a compatible homological vector field and is t...
A Q-algebroid is a graded Lie algebroid equipped with a compatible homological vector field and is t...
We introduce conformal Courant algebroids, a mild generalization of Courant algebroids in which only...
A classical principle in deformation theory asserts that any formal deformation problem is controlle...
AbstractA VB-algebroid is essentially defined as a Lie algebroid object in the category of vector bu...
We show that a double Lie algebroid, together with a chosen decomposition, is equivalent to a pair o...