Koszul Calculus
arXiv:1512.00183
Abstract
We present a new calculus which is well-adapted to quadratic algebras. This calculus consists in Koszul (co)homology, together with Koszul cup and cap products. Some applications are given. Koszul duality for Koszul (co)homology is proved for any quadratic algebra.
arXiv comment40 pages; minor changes; to be published in Glasgow Mathematical Journal