[2205.00842] Cornering Optics
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Mathematics > Category Theory

arXiv:2205.00842 (math)
[Submitted on 2 May 2022 (v1), last revised 31 Jul 2023 (this version, v2)]

Title:Cornering Optics

Authors:Guillaume Boisseau (University of Oxford), Chad Nester (Tallinn University of Technology), Mario Román (Tallinn University of Technology)
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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.
Comments: In Proceedings ACT 2022, arXiv:2307.15519
Subjects: Category Theory (math.CT); Logic in Computer Science (cs.LO)
Cite as: arXiv:2205.00842 [math.CT]
  (or arXiv:2205.00842v2 [math.CT] for this version)
  https://doi.org/10.48550/arXiv.2205.00842
Journal reference: EPTCS 380, 2023, pp. 97-110
Related DOI: https://doi.org/10.4204/EPTCS.380.6

Submission history

From: EPTCS [view email] [via EPTCS proxy]
[v1] Mon, 2 May 2022 12:12:52 UTC (9,604 KB)
[v2] Mon, 31 Jul 2023 10:29:02 UTC (8,918 KB)
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