Poincar\'e Duality for Hopf algebroids
Rings and Algebras
2021-07-27 v1 Differential Geometry
Abstract
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].
Keywords
Cite
@article{arxiv.2107.11887,
title = {Poincar\'e Duality for Hopf algebroids},
author = {Sophie Chemla},
journal= {arXiv preprint arXiv:2107.11887},
year = {2021}
}
Comments
9 pages. arXiv admin note: text overlap with arXiv:2007.09425, arXiv:1407.7112