Year: 2021
Type: article
Abstract: In this paper we develop a 2-categorical approach to coherence in compact closed categories.Our approach allows us to place compact closed categories within the context of homotopical algebra.More precisely, we construct two new model categories whose fibrant objects are (two different models of) compact closed categories.We prove a strictification theorem by showing a Quillen equivalence between the two.The author would like to thank André Joyal for having numerous discussions with the author regarding this paper and also for writing Appendix A: Aspects of Duality, which has added a lot of clarity to the paper.
Author: Amit Sharma
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4413965837