paper

Poincaré Duality for Hopf algebroids

arXiv:2107.11887

Abstract

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

9 pages. arXiv admin note: text overlap with arXiv:2007.09425, arXiv:1407.7112