On the classification of Moore algebras and their deformations.

Hamilton, Alastair

Displaying similar documents to “On the classification of Moore algebras and their deformations.”

Hochschild cohomology and moduli spaces of strongly homotopy associative algebras.

Lazarev, A. (2003)

Homology, Homotopy and Applications

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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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Extensions of homogeneous coordinate rings to $A_{\infty}$ -algebras.

Polishchuk, A. (2003)

Homology, Homotopy and Applications

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An algebraic model for homotopy fibers.

Dupont, Nicolas, Hess, Kathryn (2002)

Homology, Homotopy and Applications

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The Batalin-Vilkovisky Algebra on Hochschild Cohomology Induced by Infinity Inner Products

Thomas Tradler (2008)

Annales de l’institut Fourier

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We define a BV-structure on the Hochschild cohomology of a unital, associative algebra $A$ with a symmetric, invariant and non-degenerate inner product. The induced Gerstenhaber algebra is the one described in Gerstenhaber’s original paper on Hochschild-cohomology. We also prove the corresponding theorem in the homotopy case, namely we define the BV-structure on the Hochschild-cohomology of a unital $A_{\infty}$ -algebra with a symmetric and non-degenerate $\infty$ -inner product.

The Hochschild cohomology ring of the singular cochain algebra of a space

Katsuhiko Kuribayashi (2011)

Annales de l’institut Fourier

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We determine the algebra structure of the Hochschild cohomology of the singular cochain algebra with coefficients in a field on a space whose cohomology is a polynomial algebra. A spectral sequence calculation of the Hochschild cohomology is also described. In particular, when the underlying field is of characteristic two, we determine the associated bigraded Batalin-Vilkovisky algebra structure on the Hochschild cohomology of the singular cochain on a space whose cohomology is an exterior...

On the Connes operator in Hochschild homology.

Ndombol, Bitjong (2005)

AMA. Algebra Montpellier Announcements [electronic only]

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Cohomology of deformation parameters of diagonal noncommutative nonassociative graded algebras.

Wills-Toro, Luis Alberto, Craven, Thomas, Vélez, Juan Diego (2008)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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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...