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Article Dans Une Revue Revista de la Union Matematica Argentina Année : 2023

Poincaré Duality for Hopf algebroids

Résumé

We prove a twisted Poincar\'e duality for (full) Hopf algebroids with bijective antipode. As an application, we recover the Hochschild twisted Poincar\'e duality of Van Den Bergh [VDB]. We also get a Poisson twisted Poincar\'e duality, which was already stated for oriented Poisson manifolds in [CLYZ].

Dates et versions

hal-03996421 , version 1 (19-02-2023)

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Paternité - Pas d'utilisation commerciale - Pas de modification

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Sophie Chemla. Poincaré Duality for Hopf algebroids. Revista de la Union Matematica Argentina, In press. ⟨hal-03996421⟩
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