Collages of String Diagrams

Dylan Braithwaite
(University of Strathclyde)
Mario Román
(Tallinn University of Technology)

We introduce collages of string diagrams as a diagrammatic syntax for glueing multiple monoidal categories. Collages of string diagrams are interpreted as pointed bimodular profunctors. As the main examples of this technique, we introduce string diagrams for bimodular categories, string diagrams for functor boxes, and string diagrams for internal diagrams.

In Sam Staton and Christina Vasilakopoulou: Proceedings of the Sixth International Conference on Applied Category Theory 2023 (ACT 2023), University of Maryland, 31 July - 4 August 2023, Electronic Proceedings in Theoretical Computer Science 397, pp. 39–53.
15 pages, 10 figures, shorter version for ACT2023.
Published: 14th December 2023.

ArXived at: https://dx.doi.org/10.4204/EPTCS.397.3 bibtex PDF
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