English

Loop spaces, and coherence for monoidal and braided monoidal bicategories

Category Theory 2011-02-07 v1

Abstract

We prove a coherence theorem for braided monoidal bicategories and relate it to the coherence theorem for monoidal bicategories. We show how coherence for these structures can be interpretted topologically using up-to-homotopy operad actions and the algebraic classification of surface braids.

Keywords

Cite

@article{arxiv.1102.0981,
  title  = {Loop spaces, and coherence for monoidal and braided monoidal bicategories},
  author = {Nick Gurski},
  journal= {arXiv preprint arXiv:1102.0981},
  year   = {2011}
}

Comments

Preprint version of an article to appear in Advances in Mathematics

R2 v1 2026-06-21T17:21:54.343Z