Deformations of objects in $n$-categories
Algebraic Geometry
2025-07-04 v4 Category Theory
Abstract
In this paper, we prove that the deformation theory of an object in an -category is controlled by the its -fold endomorphism algebra. This recovers Lurie's results on deforming objects and categories. We also generalize a previous result by Blanc et al. on deforming a category and an object simultaneously to the case of -categories.
Cite
@article{arxiv.2304.00196,
title = {Deformations of objects in $n$-categories},
author = {Fei Yu Chen},
journal= {arXiv preprint arXiv:2304.00196},
year = {2025}
}