The formality theorem for Hochschild chains of the algebra of functions on a smooth manifold gives us a version of the trace density map from the zeroth Hochschild homology of a deformation quantization algebra to the zeroth Poisson homology. We propose a version of the algebraic index theorem for a Poisson manifold which is based on this trace density map
Abstract. In this paper we prove Lie algebroid versions of Tsygan’s formality conjecture for Hochsch...
Using the concept of a twisted trace density on a cyclic groupoid, a trace is constructed on a forma...
In this paper, we compute the Poisson (co)homology of a polynomial Poisson structure given by two Ca...
This book is a survey of the theory of formal deformation quantization of Poisson manifolds, in the ...
Proofs of Tsygan’s formality conjectures for chains would unlock important algebraic tools which mig...
A Poisson algebra is a commutative algebra with a Lie bracket {, } satisfying the Leibniz rule. Such...
We study the Hochschild homology groups of the algebra of complete symbols on a foliated manifold $(...
To every Poisson algebraic variety X over an algebraically closed field of characteristic zero, we c...
Symmetries of Poisson manifolds are in general quantized just to symmetries up to homotopy of the qu...
Bott-Samelson varieties associated to reductive algebraic groups are much studied in representation ...
The work has been devoted to the investigation of applying Poisson cohomologies to the problems of t...
We introduce a natural non-degeneracy condition for Poisson structures, called holonomicity, which i...
In this paper we define an algebra structure on the vector space $L(\Sigma)$ generated by l...
In this paper we define an algebra structure on the vector space $L(\Sigma)$ generated by l...
summary:Author's abstract: ``We introduce the concept of the flux homomorphism for regular Poisson m...
Abstract. In this paper we prove Lie algebroid versions of Tsygan’s formality conjecture for Hochsch...
Using the concept of a twisted trace density on a cyclic groupoid, a trace is constructed on a forma...
In this paper, we compute the Poisson (co)homology of a polynomial Poisson structure given by two Ca...
This book is a survey of the theory of formal deformation quantization of Poisson manifolds, in the ...
Proofs of Tsygan’s formality conjectures for chains would unlock important algebraic tools which mig...
A Poisson algebra is a commutative algebra with a Lie bracket {, } satisfying the Leibniz rule. Such...
We study the Hochschild homology groups of the algebra of complete symbols on a foliated manifold $(...
To every Poisson algebraic variety X over an algebraically closed field of characteristic zero, we c...
Symmetries of Poisson manifolds are in general quantized just to symmetries up to homotopy of the qu...
Bott-Samelson varieties associated to reductive algebraic groups are much studied in representation ...
The work has been devoted to the investigation of applying Poisson cohomologies to the problems of t...
We introduce a natural non-degeneracy condition for Poisson structures, called holonomicity, which i...
In this paper we define an algebra structure on the vector space $L(\Sigma)$ generated by l...
In this paper we define an algebra structure on the vector space $L(\Sigma)$ generated by l...
summary:Author's abstract: ``We introduce the concept of the flux homomorphism for regular Poisson m...
Abstract. In this paper we prove Lie algebroid versions of Tsygan’s formality conjecture for Hochsch...
Using the concept of a twisted trace density on a cyclic groupoid, a trace is constructed on a forma...
In this paper, we compute the Poisson (co)homology of a polynomial Poisson structure given by two Ca...
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