Add to ORKGWe introduce a cup-cap duality in the Koszul calculus of N-homogeneous algebras. As an application, we prove that the graded symmetry of the Koszul cap product is a consequence of the graded commutativity of the Koszul cup product. We propose a conceptual approach that may lead to a proof of the graded commutativity, based on derived categories in the framework of DG algebras and DG bimodules. Various enriched structures are developed in a weaker situation corresponding to N>2.Comment: 30 pages, a few minor change
International audienceWe extend Koszul calculus defined on quadratic algebras by Berger, Lambre, Sol...
Abstract. We present a unifying framework for the key concepts and results of higher Koszul duality ...
The homotopy groups of a commutative algebra in spectra form a commutative algebra in the symmetric ...
30 pagesWe introduce a cup-cap duality in the Koszul calculus of N-homogeneous algebras. As an appli...
30 pagesWe introduce a cup-cap duality in the Koszul calculus of N-homogeneous algebras. As an appli...
International audienceWe present a calculus which is well-adapted to homogeneous quadratic algebras....
International audienceWe present a calculus which is well-adapted to homogeneous quadratic algebras....
International audienceWe present a calculus which is well-adapted to homogeneous quadratic algebras....
We extend a construction of Hinich to obtain a closed model category structure on all differential g...
This is an overview on derived nonhomogeneous Koszul duality over a field, mostly based on the autho...
We construct a generalization of Koszul duality in the sense of Keller--Lef\`evre for not necessaril...
We present a calculus that is well-adapted to homogeneous quadratic algebras. We define this calculu...
AbstractWe propose a new definition of Koszulity for graded algebras where the degree zero part has ...
We extend a construction of Hinich to obtain a closed model category structure on all differential g...
International audienceWe extend Koszul calculus defined on quadratic algebras by Berger, Lambre, Sol...
International audienceWe extend Koszul calculus defined on quadratic algebras by Berger, Lambre, Sol...
Abstract. We present a unifying framework for the key concepts and results of higher Koszul duality ...
The homotopy groups of a commutative algebra in spectra form a commutative algebra in the symmetric ...
30 pagesWe introduce a cup-cap duality in the Koszul calculus of N-homogeneous algebras. As an appli...
30 pagesWe introduce a cup-cap duality in the Koszul calculus of N-homogeneous algebras. As an appli...
International audienceWe present a calculus which is well-adapted to homogeneous quadratic algebras....
International audienceWe present a calculus which is well-adapted to homogeneous quadratic algebras....
International audienceWe present a calculus which is well-adapted to homogeneous quadratic algebras....
We extend a construction of Hinich to obtain a closed model category structure on all differential g...
This is an overview on derived nonhomogeneous Koszul duality over a field, mostly based on the autho...
We construct a generalization of Koszul duality in the sense of Keller--Lef\`evre for not necessaril...
We present a calculus that is well-adapted to homogeneous quadratic algebras. We define this calculu...
AbstractWe propose a new definition of Koszulity for graded algebras where the degree zero part has ...
We extend a construction of Hinich to obtain a closed model category structure on all differential g...
International audienceWe extend Koszul calculus defined on quadratic algebras by Berger, Lambre, Sol...
International audienceWe extend Koszul calculus defined on quadratic algebras by Berger, Lambre, Sol...
Abstract. We present a unifying framework for the key concepts and results of higher Koszul duality ...
The homotopy groups of a commutative algebra in spectra form a commutative algebra in the symmetric ...