Maurer-Cartan methods in deformation theory: the twisting procedure
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...
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| Hauptverfasser: | , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2024
|
| Schriftenreihe: | London Mathematical Society lecture note series
488 |
| Schlagworte: | |
| Online-Zugang: | BSB01 BTU01 FHN01 Volltext |
| Zusammenfassung: | 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 |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 22 Aug 2023) Maurer-Cartan methods -- Operad theory for filtered and complete modules -- Pre-Lie algebras and the gauge group -- The gauge origin of the twisting procedure -- The twisting procedure for operads -- Operadic twisting and graph homology -- Applications |
| Beschreibung: | 1 Online-Ressource (viii, 177 Seiten) |
| ISBN: | 9781108963800 |
| DOI: | 10.1017/9781108963800 |
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| 500 | |a Maurer-Cartan methods -- Operad theory for filtered and complete modules -- Pre-Lie algebras and the gauge group -- The gauge origin of the twisting procedure -- The twisting procedure for operads -- Operadic twisting and graph homology -- Applications | ||
| 520 | |a 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 | ||
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| author | Dotsenko, Vladimir 1981- Shadrin, Sergey 1980- Vallette, Bruno |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| doi_str_mv | 10.1017/9781108963800 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| index_date | 2024-07-03T23:13:48Z |
| indexdate | 2024-07-10T10:07:44Z |
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| isbn | 9781108963800 |
| language | English |
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| physical | 1 Online-Ressource (viii, 177 Seiten) |
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| spelling | Dotsenko, Vladimir 1981- (DE-588)1297340043 aut Maurer-Cartan methods in deformation theory the twisting procedure Vladimir Dotsenko, Sergey Shadrin, Bruno Vallette Cambridge Cambridge University Press 2024 1 Online-Ressource (viii, 177 Seiten) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 488 Title from publisher's bibliographic system (viewed on 22 Aug 2023) Maurer-Cartan methods -- Operad theory for filtered and complete modules -- Pre-Lie algebras and the gauge group -- The gauge origin of the twisting procedure -- The twisting procedure for operads -- Operadic twisting and graph homology -- Applications 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 Lie algebras Twist mappings (Mathematics) Operads Deformations of singularities Shadrin, Sergey 1980- (DE-588)1297351290 aut Vallette, Bruno (DE-588)1028282362 aut Erscheint auch als Druck-Ausgabe 978-1-108-96564-4 https://doi.org/10.1017/9781108963800 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Dotsenko, Vladimir 1981- Shadrin, Sergey 1980- Vallette, Bruno Maurer-Cartan methods in deformation theory the twisting procedure Lie algebras Twist mappings (Mathematics) Operads Deformations of singularities |
| title | Maurer-Cartan methods in deformation theory the twisting procedure |
| title_auth | Maurer-Cartan methods in deformation theory the twisting procedure |
| title_exact_search | Maurer-Cartan methods in deformation theory the twisting procedure |
| title_exact_search_txtP | Maurer-Cartan methods in deformation theory the twisting procedure |
| title_full | Maurer-Cartan methods in deformation theory the twisting procedure Vladimir Dotsenko, Sergey Shadrin, Bruno Vallette |
| title_fullStr | Maurer-Cartan methods in deformation theory the twisting procedure Vladimir Dotsenko, Sergey Shadrin, Bruno Vallette |
| title_full_unstemmed | Maurer-Cartan methods in deformation theory the twisting procedure Vladimir Dotsenko, Sergey Shadrin, Bruno Vallette |
| title_short | Maurer-Cartan methods in deformation theory |
| title_sort | maurer cartan methods in deformation theory the twisting procedure |
| title_sub | the twisting procedure |
| topic | Lie algebras Twist mappings (Mathematics) Operads Deformations of singularities |
| topic_facet | Lie algebras Twist mappings (Mathematics) Operads Deformations of singularities |
| url | https://doi.org/10.1017/9781108963800 |
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