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Cosimplicial DGLAs in Deformation Theory |
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| Authors: | Domenico Fiorenza Marco Manetti Elena Martinengo |
| Affiliation: | 1. Dipartimento di Matematica “Guido Castelnuovo,” , Università degli Studi di Roma La Sapienza , Roma , Italy fiorenza@mat.uniroma1.it;3. Dipartimento di Matematica “Guido Castelnuovo,” , Università degli Studi di Roma La Sapienza , Roma , Italy;4. Institut für Mathematik und Informatik , Freie Universit?t Berlin , Berlin , Germany |
| Abstract: | We identify ?ech cocycles in nonabelian (formal) group cohomology with Maurer–Cartan elements in a suitable L ∞-algebra. Applications to deformation theory are described. |
| Keywords: | Differential graded Lie algebras Functors of Artin rings L ∞-algebras |