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].