Geodesic
THE CURVED A∞-COALGEBRA OF THE KOSZUL CODUAL OF A FILTERED DG ALGEBRA
Glasgow mathematical journal, Tome 61 (2019) no. 3, pp. 575-600

Voir la notice de l'article provenant de la source Cambridge University Press

The goal of this article is to study the coaugmented curved A∞-coalgebra structure of the Koszul codual of a filtered dg algebra over a field k. More precisely, we first extend one result of B. Keller that allowed to compute the A∞-coalgebra structure of the Koszul codual of a nonnegatively graded connected algebra to the case of any unitary dg algebra provided with a nonnegative increasing filtration whose zeroth term is k. We then show how to compute the coaugmented curved A∞-coalgebra structure of the Koszul codual of a Poincaré-Birkhoff-Witt (PBW) deformation of an N-Koszul algebra.
DOI : 10.1017/S001708951800037X
Mots-clés : 16E05, 16E45, 16T15, 16W70 
HERSCOVICH, ESTANISLAO. THE CURVED A∞-COALGEBRA OF THE KOSZUL CODUAL OF A FILTERED DG ALGEBRA. Glasgow mathematical journal, Tome 61 (2019) no. 3, pp. 575-600. doi: 10.1017/S001708951800037X
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