Deformation Theory ( Lecture Notes )

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F07%3A00098923" target="_blank" >RIV/67985840:_____/07:00098923 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Deformation Theory ( Lecture Notes )

Original language description

First three sections of this overview paper cover classical topics of deformation theory of associative algebras and necessary background material. We then analyze algebraic structures of the Hochschild cohomology and describe the relation between deformations and solutions of the corresponding Maurer-Cartan equation. In Section 6 we generalize the Maurer-Cartan equation to strongly homotopy Lie algebras and prove the homotopy invariance of the moduli space of solutions of this equation. In the last section we indicate the main ideas of Kontsevich´s proof of the existence of deformation quantization of Poisson manifolds.

Czech name

Teorie deformací ( zápisy z přednášek )

Czech description

V článku jsou vysvětleny základní pojmy teorie deformací založené na Maurer-Cartanově rovnici.

Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/GA201%2F05%2F2117" target="_blank" >GA201/05/2117: Algebraic methods in topology and geometry</a><br>

Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2007

Confidentiality

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

Name of the periodical

Archivum mathematicum

ISSN

0044-8753

e-ISSN

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Volume of the periodical

43

Issue of the periodical within the volume

5

Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

39

Pages from-to

333-371

UT code for WoS article

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EID of the result in the Scopus database

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