The curvature problem for formal and infinitesimal deformations
K-Theory and Homology
2015-09-14 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1505.03698,
title = {The curvature problem for formal and infinitesimal deformations},
author = {Wendy Lowen and Michel Van den Bergh},
journal= {arXiv preprint arXiv:1505.03698},
year = {2015}
}