Cornering Optics

Guillaume Boisseau
(University of Oxford)
Chad Nester
(Tallinn University of Technology)
Mario Román
(Tallinn University of Technology)

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.

In Jade Master and Martha Lewis: Proceedings Fifth International Conference on Applied Category Theory (ACT 2022), Glasgow, United Kingdom, 18-22 July 2022, Electronic Proceedings in Theoretical Computer Science 380, pp. 97–110.
Published: 7th August 2023.

ArXived at: https://dx.doi.org/10.4204/EPTCS.380.6 bibtex PDF
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