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The permutoassociahedron, Mac Lane’s coherence theorem and asymptotic zones for the KZ equation. (English) Zbl 0812.18003
All possible bracketings of n symbols in all possible orders are exhibited as vertices of a combinatorial CW-complex KP n . It is clearly relevant to the coherence of symmetric monoidal categories, yet also fits nicely into Drinfel’d’s study of the Knizhnik-Zamolodchikov equations and into the analysis of the Grothendieck-Knudsen moduli space of stable n-pointed curves of genus 0.

MSC:
18D10Monoidal, symmetric monoidal and braided categories
14D10Arithmetic ground fields (finite, local, global)
35Q99PDE of mathematical physics and other areas
19D23Symmetric monoidal categories (K-theory)