Maurer-Cartan methods in deformation theory the twisting procedure
Dotsenko, Vladimir 1981-
Maurer-Cartan methods in deformation theory the twisting procedure Vladimir Dotsenko (University of Strasbourg), Sergey Shadrin (University of Amsterdam), Bruno Vallette (Sorbonne Paris North University) - viii, 177 Seiten Illustrationen - London Mathematical Society lecture note series 488 . - London Mathematical Society Lecture note series / London Mathematical Society 488 .
Literaturverzeichnis: Seite 166-174
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.
9781108965644 paperback : £ 47.99
10.1017/9781108963800 doi
Lie algebras
Twist mappings (Mathematics)
Operads
Deformations of singularities
512.55
Maurer-Cartan methods in deformation theory the twisting procedure Vladimir Dotsenko (University of Strasbourg), Sergey Shadrin (University of Amsterdam), Bruno Vallette (Sorbonne Paris North University) - viii, 177 Seiten Illustrationen - London Mathematical Society lecture note series 488 . - London Mathematical Society Lecture note series / London Mathematical Society 488 .
Literaturverzeichnis: Seite 166-174
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.
9781108965644 paperback : £ 47.99
10.1017/9781108963800 doi
Lie algebras
Twist mappings (Mathematics)
Operads
Deformations of singularities
512.55