From Koszul duality to Poincaré duality
arXiv:1109.6117 · doi:10.1007/s12043-012-0320-7
Abstract
We discuss the notion of Poincaré duality for graded algebras and its connections with the Koszul duality for quadratic Koszul algebras. The relevance of the Poincaré duality is pointed out for the existence of twisted potentials associated to Koszul algebras as well as for the extraction of a good generalization of Lie algebras among the quadratic-linear algebras.
Dedicated to Raymond Stora. 27 pages