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...
Gespeichert in:
| Beteilige Person: | |
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| Weitere beteiligte Personen: | , |
| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge New York, NY
Cambridge University Press
2024
|
| Schriftenreihe: | London Mathematical Society lecture note series
488 |
| Links: | https://doi.org/10.1017/9781108963800 |
| 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. |
| Umfang: | 1 Online-Ressource (viii, 177 Seiten) |
| ISBN: | 9781108963800 |
Internformat
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| 100 | 1 | |a Dotsenko, Vladimir |d 1981- | |
| 245 | 1 | 0 | |a Maurer-Cartan methods in deformation theory |b the twisting procedure |c Vladimir Dotsenko, Sergey Shadrin, Bruno Vallette |
| 264 | 1 | |a Cambridge |a New York, NY |b Cambridge University Press |c 2024 | |
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| 490 | 1 | |a London Mathematical Society lecture note series |v 488 | |
| 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. | ||
| 700 | 1 | |a Shadrin, Sergey |d 1980- | |
| 700 | 1 | |a Vallette, Bruno | |
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| spelling | Dotsenko, Vladimir 1981- Maurer-Cartan methods in deformation theory the twisting procedure Vladimir Dotsenko, Sergey Shadrin, Bruno Vallette Cambridge New York, NY Cambridge University Press 2024 1 Online-Ressource (viii, 177 Seiten) txt c cr London Mathematical Society lecture note series 488 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. Shadrin, Sergey 1980- Vallette, Bruno Erscheint auch als Druck-Ausgabe 9781108965644 |
| spellingShingle | Dotsenko, Vladimir 1981- Maurer-Cartan methods in deformation theory the twisting procedure |
| 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_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 |
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