Twisted cohomology of the Hilbert schemes of points on surfaces.

Nieper-Wißkirchen, Marc A.

Displaying similar documents to “Twisted cohomology of the Hilbert schemes of points on surfaces.”

The Hochschild cohomology of a closed manifold

Yves Felix, Jean-Claude Thomas, Micheline Vigué-Poirrier (2004)

Publications Mathématiques de l'IHÉS

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Let M be a closed orientable manifold of dimension and $𝒞^{*} (M)$ be the usual cochain algebra on M with coefficients in a field. The Hochschild cohomology of M, $H H^{*} (𝒞^{*} (M); 𝒞^{*} (M))$ is a graded commutative and associative algebra. The augmentation map $ε : 𝒞^{*} (M) \to 𝑘$ induces a morphism of algebras $I : H H^{*} (𝒞^{*} (M); 𝒞^{*} (M)) \to H H^{*} (𝒞^{*} (M); 𝑘)$ . In this paper we produce a chain model for the morphism I. We show that the kernel of I is a nilpotent ideal and that the image of I is contained in the center of $H H^{*} (𝒞^{*} (M); 𝑘)$ , which is in general quite small. The algebra $H H^{*} (𝒞^{*} (M); 𝒞^{*} (M))$ is expected to...

Derived quot schemes

Ionuţ Ciocan-Fontanine, Mikhail Kapranov (2001)

Annales scientifiques de l'École Normale Supérieure

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Universal $q$ -differential calculus and $q$ -analog of homological algebra.

Dubois-Violette, M., Kerner, R. (1996)

Acta Mathematica Universitatis Comenianae. New Series

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Computations in weighted polynomial rings.

Dalzotto, Giorgio, Sbarra, Enrico (2006)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

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An homotopy formula for the Hochschild cohomology

M. De Wilde, P. B. A. Lecomte (1995)

Compositio Mathematica

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On graded Bett numbers and geometrical properties of projective varieties.

Uwe Nagel, Yves Pitteloud (1994)

Manuscripta mathematica

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Categorical investigation of $Γ$ -graded $Λ$ -algebras

Huq, S.A., Aijaz, Kulsoom (1969)

Portugaliae mathematica

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Deformation Theory (Lecture Notes)

M. Doubek, Martin Markl, Petr Zima (2007)

Archivum Mathematicum

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First three sections of this overview paper cover classical topics of deformation theory of associative algebras and necessary background material. We then analyze algebraic structures of the Hochschild cohomology and describe the relation between deformations and solutions of the corresponding Maurer-Cartan equation. In Section we generalize the Maurer-Cartan equation to strongly homotopy Lie algebras and prove the homotopy invariance of the moduli space of solutions of this equation....