Deformations of quasi-categories in modules
Category Theory
2023-08-25 v1 Algebraic Topology
K-Theory and Homology
Abstract
The framework of templicial objects was put forth in arXiv:2302.02484v1 in order to develop higher categorical concepts in the presence of enrichment. In particular, quasi-categories in modules constitute a subclass of templicial modules which may be considered as a kind of "weak dg-categories (concentrated in homologically positive degrees)" according to arXiv:2005.04778v3. The main goal of the present paper is to initiate the deformation theory of templicial modules. In particular, we show that quasi-categories in modules are preserved under levelwise flat infinitesimal deformation.
Keywords
Cite
@article{arxiv.2308.09148,
title = {Deformations of quasi-categories in modules},
author = {Violeta Borges Marques and Wendy Lowen and Arne Mertens},
journal= {arXiv preprint arXiv:2308.09148},
year = {2023}
}
Comments
22 pages, no figures