Deformation Theories Controlled by Hochschild Cohomologies
Rings and Algebras
2019-08-07 v1
Abstract
We explore how the higher order Hochschild cohomology controls a deformation theory when the simplicial set models the 3-sphere. Besides generalizing to the -sphere for any , we also investigate a deformation theory corresponding to the tertiary Hochschild cohomology, which naturally reduces to those studied for the secondary and usual Hochschild cohomologies under certain conditions.
Cite
@article{arxiv.1908.01846,
title = {Deformation Theories Controlled by Hochschild Cohomologies},
author = {Samuel Carolus and Samuel A. Hokamp and Jacob Laubacher},
journal= {arXiv preprint arXiv:1908.01846},
year = {2019}
}
Comments
10 pages, 2 figures, comments welcome