Cornering Optics
Category Theory
2023-08-01 v2 Logic in Computer Science
Abstract
We show that the category of optics in a monoidal category arises naturally from the free cornering of that category. Further, we show that the free cornering of a monoidal category is a natural setting in which to work with comb diagrams over that category. The free cornering admits an intuitive graphical calculus, which in light of our work may be used to reason about optics and comb diagrams.
Cite
@article{arxiv.2205.00842,
title = {Cornering Optics},
author = {Guillaume Boisseau and Chad Nester and Mario Román},
journal= {arXiv preprint arXiv:2205.00842},
year = {2023}
}
Comments
In Proceedings ACT 2022, arXiv:2307.15519