Displaying similar documents to “The Hochschild cohomology ring of the singular cochain algebra of a space”

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 ∞ -algebra with a symmetric and non-degenerate ∞ -inner product.

Second cohomology classes of the group of C 1 -flat diffeomorphisms

Tomohiko Ishida (2012)

Annales de l’institut Fourier

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We study the cohomology of the group consisting of all C ∞ -diffeomorphisms of the line, which are C 1 -flat to the identity at the origin. We construct non-trivial two second real cohomology classes and uncountably many second integral homology classes of this group.

An extension of Miller's version of the de Rham Theorem with any coefficients

Antonio Garvín, Luis Lechuga, Aniceto Murillo, Vicente Muñoz, Antonio Viruel (1998)

Banach Center Publications

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In this paper we present an approximation to the de Rham theorem for simplicial sets with any coefficients based, using simplicial techniques, on Poincaré's lemma and q-extendability.

Transgression and Clifford algebras

Rudolf Philippe Rohr (2009)

Annales de l’institut Fourier

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Let W be a differential (not necessarily commutative) algebra which carries a free action of a polynomial algebra S P with homogeneous generators p 1 , ⋯ , p r . We show that for W acyclic, the cohomology of the quotient H ( W / < p 1 , ⋯ , p r > ) is isomorphic to a Clifford algebra Cl ( P , B ) , where the (possibly degenerate) bilinear form B depends on W . This observation is an analogue of an old result of Borel in a non-commutative context. As an application, we study the case of W given by the quantized Weil algebra...