English

Coherence for braided and symmetric pseudomonoids

Category Theory 2018-12-04 v3 Formal Languages and Automata Theory Quantum Algebra

Abstract

Presentations for unbraided, braided and symmetric pseudomonoids are defined. Biequivalences characterising the semistrict bicategories generated by these presentations are proven. It is shown that these biequivalences categorify results in the theory of monoids and commutative monoids, and generalise standard coherence theorems for braided and symmetric monoidal categories.

Keywords

Cite

@article{arxiv.1705.09354,
  title  = {Coherence for braided and symmetric pseudomonoids},
  author = {Dominic Verdon},
  journal= {arXiv preprint arXiv:1705.09354},
  year   = {2018}
}

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Linked Globular workspace at http://globular.science/1705.001v2

R2 v1 2026-06-22T19:59:29.059Z