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arxiv: 1102.0981 · v1 · pith:OA26IVYYnew · submitted 2011-02-04 · 🧮 math.CT

Loop spaces, and coherence for monoidal and braided monoidal bicategories

classification 🧮 math.CT
keywords coherencemonoidalbicategoriesbraidedtheoremactionsalgebraicbraids
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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.

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