Hochschild cohomology and moduli spaces of strongly homotopy associative algebras.
Lazarev, A. (2003)
Homology, Homotopy and Applications
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Displaying similar documents to “Extensions of homogeneous coordinate rings to -algebras.”
Hochschild cohomology and moduli spaces of strongly homotopy associative algebras.
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...
An algebraic model for homotopy fibers.
Dupont, Nicolas, Hess, Kathryn (2002)
Homology, Homotopy and Applications
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Crossed extensions of algebras and Hochschild cohomology.
Baues, Hans-Joachim, Minian, Elias Gabriel (2002)
Homology, Homotopy and Applications
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On the classification of Moore algebras and their deformations.
Hamilton, Alastair (2004)
Homology, Homotopy and Applications
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On the homotopy type of a chain algebra.
Benkhalifa, Mahmoud (2004)
Homology, Homotopy and Applications
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Operations and co-operations in Morava -theory.
Hovey, Mark (2004)
Homology, Homotopy and Applications
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Spaces and equations
Walter Taylor (2000)
Fundamenta Mathematicae
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It is proved, for various spaces A, such as a surface of genus 2, a figure-eight, or a sphere of dimension ≠ 1,3,7, and for any set Σ of equations, that Σ cannot be modeled by continuous operations on A unless Σ is undemanding (a form of triviality that is defined in the paper).
More about the (co)homology of groups and associative algebras.
Inassaridze, Hvedri (2005)
Homology, Homotopy and Applications
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Cochain operations defining Steenrod--products in the bar construction.
Kadeishvili, T. (2003)
Georgian Mathematical Journal
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Suspension and loop objects in theories and cohomology.
Baues, H.-J., Jibladze, M. (2001)
Georgian Mathematical Journal
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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 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 -algebra with a symmetric and non-degenerate -inner product.