Period mappings for noncommutative algebras
Algebraic Geometry
2016-05-09 v2 Algebraic Topology
Quantum Algebra
Abstract
We construct a period mapping for deformations of a differential graded algebra, that generalizes Griffiths' period mapping. It is constructed as a morphism between differential graded Lie algebras which has a moduli-theoretic interpretation, where the domain of the morphism is the shifted Hochschild cocohain complex. We then use this period mapping to give some applications such as unobstructedness of deformations.
Cite
@article{arxiv.1604.08283,
title = {Period mappings for noncommutative algebras},
author = {Isamu Iwanari},
journal= {arXiv preprint arXiv:1604.08283},
year = {2016}
}
Comments
Intro revised