TY  - BOOK
AU  - Dotsenko,Vladimir
AU  - Shadrin,Sergey
AU  - Vallette,Bruno
TI  - Maurer-Cartan methods in deformation theory: the twisting procedure
T2  - London Mathematical Society lecture note series
SN  - 9781108965644
U1  - 512.55 23
PY  - 2024///
CY  - Cambridge, New York, NY, Port Melbourne, New Delhi, Singapore
PB  - Cambridge University Press
KW  - Lie algebras
KW  - Twist mappings (Mathematics)
KW  - Operads
KW  - Deformations of singularities
N1  - Literaturverzeichnis: Seite 166-174
N2  - Covering an exceptional range of topics, this text provides a unique overview of the Maurer—Cartan methods in algebra, geometry, topology, and mathematical physics. It offers a new conceptual treatment of the twisting procedure, guiding the reader through various versions with the help of plentiful motivating examples for graduate students as well as researchers. Topics covered include a novel approach to the twisting procedure for operads leading to Kontsevich graph homology and a description of the twisting procedure for (homotopy) associative algebras or (homotopy) Lie algebras using the biggest deformation gauge group ever considered. The book concludes with concise surveys of recent applications in areas including higher category theory and deformation theory
UR  - https://www.gbv.de/dms/tib-ub-hannover/1853659665.pdf
UR  - https://zbmath.org/7703944
ER  -