Semicosimplicial DGLAs in deformation theory
Quantum Algebra
2013-09-30 v2 Algebraic Geometry
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.
Cite
@article{arxiv.0803.0399,
title = {Semicosimplicial DGLAs in deformation theory},
author = {Domenico Fiorenza and Marco Manetti and Elena Martinengo},
journal= {arXiv preprint arXiv:0803.0399},
year = {2013}
}
Comments
Largely rewritten. Abstract modified. 15 pages, Latex, uses xy-pic