Cornering Optics (Boisseau, Nester, Román, 2022)

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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.

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@inproceedings{nester22:optics,
  author       = {Guillaume Boisseau and
                  Chad Nester and
                  Mario Rom{\'{a}}n},
  editor       = {Jade Master and
                  Martha Lewis},
  title        = {Cornering Optics},
  booktitle    = {Proceedings Fifth International Conference on Applied Category Theory,
                  {ACT} 2022, Glasgow, United Kingdom, 18-22 July 2022},
  series       = {Electronic {Proceedings} in {Theoretical} {Computer} {Science}},
  volume       = {380},
  pages        = {97--110},
  year         = {2022},
  doi          = {10.4204/eptcs.380.6},
}

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