| Softcover ISBN: | 978-2-85629-899-2 |
| Product Code: | SMFMEM/159 |
| List Price: | $67.00 |
| AMS Member Price: | $53.60 |
| Softcover ISBN: | 978-2-85629-899-2 |
| Product Code: | SMFMEM/159 |
| List Price: | $67.00 |
| AMS Member Price: | $53.60 |
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Book DetailsMémoires de la Société Mathématique de FranceVolume: 159; 2019; 201 ppMSC: Primary 16; 18; 13; 53
The author defines and studies the derived categories of the first kind for curved DG- and \(\mathrm{A}_{\infty}\)-algebras complete over a pro-Artinian local ring with the curvature elements divisible by the maximal ideal of the local ring. He develops the Koszul duality theory in this setting and deduces the generalizations of the conventional results about \(\mathrm{A}_{\infty}\)-modules to the weakly curved case. The formalism of contramodules and comodules over pro-Artinian topological rings is used throughout the book. The author's motivation comes from the Floer-Fukaya theory.
A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
ReadershipGraduate students and research mathematicians.
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The author defines and studies the derived categories of the first kind for curved DG- and \(\mathrm{A}_{\infty}\)-algebras complete over a pro-Artinian local ring with the curvature elements divisible by the maximal ideal of the local ring. He develops the Koszul duality theory in this setting and deduces the generalizations of the conventional results about \(\mathrm{A}_{\infty}\)-modules to the weakly curved case. The formalism of contramodules and comodules over pro-Artinian topological rings is used throughout the book. The author's motivation comes from the Floer-Fukaya theory.
A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
Graduate students and research mathematicians.
