Work

Deformations of objects in $n$-categories

Year: 2023

Type: preprint

Abstract: In this paper, we prove that the deformation theory of an object in an $n$-category is controlled by the its $n$-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 $n$-categories.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2304.00196

Author: Chen, Fei Yu

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4362598070

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