We identify Cech cocycles in nonabelian (formal) group cohomology with Maurer-Cartan elements in a suitable L-infinity-algebra. Applications to deformation theory are described.
Cosimplicial DGLAs in Deformation Theory / Fiorenza, Domenico; Manetti, Marco; Elena, Martinengo. - In: COMMUNICATIONS IN ALGEBRA. - ISSN 0092-7872. - STAMPA. - 40:6(2012), pp. 2243-2260. [10.1080/00927872.2011.577479]
Cosimplicial DGLAs in Deformation Theory
FIORENZA, DOMENICO;MANETTI, Marco;
2012
Abstract
We identify Cech cocycles in nonabelian (formal) group cohomology with Maurer-Cartan elements in a suitable L-infinity-algebra. Applications to deformation theory are described.File allegati a questo prodotto
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