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Zbl 0812.18003
Kapranov, Mikhail M.
The permutoassociahedron, Mac Lane's coherence theorem and asymptotic zones for the KZ equation. (English)
[J] J. Pure Appl. Algebra 85, No.2, 119-142 (1993). ISSN 0022-4049

All possible bracketings of $n$ symbols in all possible orders are exhibited as vertices of a combinatorial CW-complex $KP\sb n$. 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.
[R.H.Street (North Ryde)]

MSC 2000:: *18D10 Monoidal categories
14D10 Arithmetic ground fields
35Q99 PDE of mathematical physics and other areas
19D23 Symmetric monoidal categories (K-theory)

Keywords: associahedron; braided tensor category; coherence; symmetric monoidal categories; Knizhnik-Zamolodchikov equations; Grothendieck-Knudsen moduli space

Cited in: Zbl 1117.55004 Zbl 1064.55005 Zbl 0873.51016 Zbl 0822.52007

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