From Koszul duality to Poincar\'e duality
Quantum Algebra
2015-05-30 v1 General Relativity and Quantum Cosmology
High Energy Physics - Theory
Mathematical Physics
math.MP
Rings and Algebras
Abstract
We discuss the notion of Poincar\'e duality for graded algebras and its connections with the Koszul duality for quadratic Koszul algebras. The relevance of the Poincar\'e 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.
Keywords
Cite
@article{arxiv.1109.6117,
title = {From Koszul duality to Poincar\'e duality},
author = {Michel Dubois-Violette},
journal= {arXiv preprint arXiv:1109.6117},
year = {2015}
}
Comments
Dedicated to Raymond Stora. 27 pages