Weakly curved A-infinity algebras over a topological local ring

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F18%3A00505597" target="_blank" >RIV/67985840:_____/18:00505597 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.24033/msmf.467" target="_blank" >http://dx.doi.org/10.24033/msmf.467</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.24033/msmf.467" target="_blank" >10.24033/msmf.467</a>

Result language

angličtina

Original language name

Weakly curved A-infinity algebras over a topological local ring

Original language description

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.

Czech name

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Czech description

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Type

B - Specialist book

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2018

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

ISBN

978-2-85629-899-2

Number of pages

206

Publisher name

Société Mathématique France

Place of publication

Marseille

UT code for WoS book

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