Higher order Hochschild cohomology

Grégory Ginot

doi:10.1016/j.crma.2007.11.010

Higher order Hochschild cohomology

Grégory Ginot

École Polytechnique

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Résumé

Following ideas of Pirashvili, we define higher order Hochschild cohomology over spheres S^d defined for any commutative algebra A and module M. When M = A, we prove that this cohomology is equipped with graded commutative algebra and degree d Lie algebra structures as well as with Adams operations. All operations are compatible in a suitable sense. These structures are related to Brane topology. To cite this article: G. Ginot, C. R. Acad. Sci. Paris, Ser. I 346 (2008).

langue originale	Anglais
Pages (de - à)	5-10
Nombre de pages	6
journal	Comptes Rendus Mathematique
Volume	346
Numéro de publication	1-2
Les DOIs	https://doi.org/10.1016/j.crma.2007.11.010
état	Publié - 1 janv. 2008

Accès au document

10.1016/j.crma.2007.11.010

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Higher order Hochschild cohomology

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