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Loop spaces, and coherence for monoidal and braided monoidal bicategories

Published 4 Feb 2011 in math.CT | (1102.0981v1)

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.

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