Obstruction theory for objects in abelian and derived categories
K-Theory and Homology
2007-05-23 v1 Category Theory
Abstract
In this paper we develop the obstruction theory for lifting complexes, up to quasi-isomorphism, to derived categories of flat nilpotent deformations of abelian categories. As a particular case we also obtain the corresponding obstruction theory for lifting of objects in terms of Yoneda Ext-groups. In appendix we prove the existence of miniversal derived deformations of complexes.
Cite
@article{arxiv.math/0407019,
title = {Obstruction theory for objects in abelian and derived categories},
author = {Wendy T. Lowen},
journal= {arXiv preprint arXiv:math/0407019},
year = {2007}
}
Comments
22 pages