%0 Journal Article
%T The curvature problem for formal and infinitesimal deformations
%A Wendy Lowen
%A Michel Van den Bergh
%J Mathematics
%D 2015
%I arXiv
%X We interpret all Maurer-Cartan elements in the formal Hochschild complex of a small dg category which is cohomologically bounded above in terms of torsion Morita deformations. This solves the "curvature problem", i.e. the phenomenon that such Maurer-Cartan elements naturally parameterize curved A_infinity deformations. In the infinitesimal setup, we show how (n+1)-th order curved deformations give rise to n-th order uncurved Morita deformations.
%U http://arxiv.org/abs/1505.03698v2