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Lie methods in deformation theory
This book furnishes a comprehensive treatment of differential graded Lie algebras, L-infinity algebras, and their use in deformation theory. We believe it is the first textbook devoted to this subject, although the first chapters are also covered in other sources with a different perspective. Deform...
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| Auteur principal : | |
|---|---|
| Format : | Livre |
| Langue : | anglais |
| Titre complet : | Lie methods in deformation theory / Marco Manetti |
| Publié : |
Singapore :
Springer Nature Singapore
, C 2022 |
| Description matérielle : | 1 volume (XII, 574 p.) |
| Collection : | Springer monographs in mathematics |
| Sujets : | |
| Documents associés : | Autre format:
Lie Methods in Deformation Theory Autre format: Lie Methods in Deformation Theory Autre format: Lie Methods in Deformation Theory |
- 1. An Overview of Deformation Theory of Complex Manifolds
- 2. Lie Algebras
- 3. Functors of Artin Rings
- 4. Infinitesimal Deformations of Complex Manifolds and Vector Bundles
- 5. Differential Graded Lie Algebras
- 6. Maurer-Cartan Equation and Deligne Groupoids
- 7. Totalization and Descent of Deligne Groupoids
- 8. Deformations of Complex Manifolds and Holomorphic Maps
- 9. Poisson, Gerstenhaber and Batalin-Vilkovisky Algebras
- 10. L1-algebras
- 11. Coalgebras and Coderivations
- 12. L1-morphisms
- 13. Formal Kuranishi Families and Period Maps
- References.