Hochshild cohomology and equivalence of graded star products.

Ben Amar, N.; Chaabouni, M.

Displaying similar documents to “Hochshild cohomology and equivalence of graded star products.”

Formality theorems: from associators to a global formulation

Gilles Halbout (2006)

Annales mathématiques Blaise Pascal

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Let $M$ be a differential manifold. Let $Φ$ be a Drinfeld associator. In this paper we explain how to construct a global formality morphism starting from $Φ$ . More precisely, following Tamarkin’s proof, we construct a Lie homomorphism “up to homotopy" between the Lie algebra of Hochschild cochains on $C^{\infty} (M)$ and its cohomology $(Γ (M, Λ T M), {[-, -]}_{S}$ ). This paper is an extended version of a course given 8 - 12 March 2004 on Tamarkin’s works. The reader will find explicit examples, recollections on $G_{\infty}$ -structures, explanation...

Hochschild cohomology and deformations of Clifford-Weyl algebras.

Musson, Ian M., Pinczon, Georges, Ushirobira, Rosane (2009)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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Coalgebraic Approach to the Loday Infinity Category, Stem Differential for $2 n$ -ary Graded and Homotopy Algebras

Mourad Ammar, Norbert Poncin (2010)

Annales de l’institut Fourier

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We define a graded twisted-coassociative coproduct on the tensor algebra the desuspension space of a graded vector space $V$ . The coderivations (resp. quadratic “degree 1” codifferentials, arbitrary odd codifferentials) of this coalgebra are 1-to-1 with sequences of multilinear maps on $V$ (resp. graded Loday structures on $V$ , sequences that we call Loday infinity structures on $V$ ). We prove a minimal model theorem for Loday infinity algebras and observe that the ${Lod}_{\infty}$ category contains the $L_{\infty}$ ...

On compact symplectic and Kählerian solvmanifolds which are not completely solvable

Aleksy Tralle (1997)

Colloquium Mathematicae

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We are interested in the problem of describing compact solvmanifolds admitting symplectic and Kählerian structures. This was first considered in [3, 4] and [7]. These papers used the Hattori theorem concerning the cohomology of solvmanifolds hence the results obtained covered only the completely solvable case}. Our results do not use the assumption of complete solvability. We apply our methods to construct a new example of a compact symplectic non-Kählerian solvmanifold.

Deformation quantization of Poisson structures associated to Lie algebroids.

Neumaier, Nikolai, Waldmann, Stefan (2009)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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Lie superalgebras graded by the root system $A (m, n)$ .

Benkart, Giorgia, Elduque, Alberto (2003)

Journal of Lie Theory

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Lefschetz coincidence numbers of solvmanifolds with Mostow conditions

Hisashi Kasuya (2014)

Archivum Mathematicum

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For any two continuous maps $f$ , $g$ between two solvmanifolds of the same dimension satisfying the Mostow condition, we give a technique of computation of the Lefschetz coincidence number of $f$ , $g$ . This result is an extension of the result of Ha, Lee and Penninckx for completely solvable case.

Vertex algebroids over Veronese rings.

Malikov, Fyodor (2008)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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