Loop spaces, and coherence for monoidal and braided monoidal bicategories

Details Loop spaces, and coherence for monoidal and braided monoidal bicategories Loop spaces, and coherence for monoidal and braided monoidal bicategories

2011-02-04

arxiv.org/abs/1102.0981v1

Mathematics

Category Theory

Preprint version of an article to appear in Advances in Mathematics

Scientific paper

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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