Number of the records: 1
Weakly curved A-infinity algebras over a topological local ring
- 1.
SYSNO ASEP 0505597 Document Type B - Monograph R&D Document Type Monograph Title Weakly curved A-infinity algebras over a topological local ring Author(s) Positselski, Leonid (MU-W) SAI, ORCID, RID Issue data Marseille: Société Mathématique France, 2018 ISBN 978-2-85629-899-2 ISSN 0249-633X Series Mémoires de la Société Mathématique de France. Nouvelle Série Series number 159 Number of pages 206 s. Number of copy 200 Publication form Print - P Language eng - English Country FR - France Issue 1. Keywords bar-cobar duality ; contramodules and comodules ; Floer-Fukaya theory Subject RIV BA - General Mathematics OECD category Pure mathematics Institutional support MU-W - RVO:67985840 DOI 10.24033/msmf.467 Annotation We define and study the derived categories of the first kind for curved DG and A-infinity algebras complete over a pro-Artinian local ring with the curvature elements divisible by the maximal ideal of the local ring. We develop the Koszul duality theory in this setting and deduce the generalizations of the conventional results about A-infinity modules to the weakly curved case. The formalism of contramodules and comodules over pro-Artinian topological rings is used throughout the paper. Our motivation comes from the Floer-Fukaya theory. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2020
Number of the records: 1