The permutoassociahedron, Mac Lane's coherence theorem and asymptotic zones for the KZ equation (Q1803855)
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scientific article; zbMATH DE number 221969
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The permutoassociahedron, Mac Lane's coherence theorem and asymptotic zones for the KZ equation |
scientific article; zbMATH DE number 221969 |
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The permutoassociahedron, Mac Lane's coherence theorem and asymptotic zones for the KZ equation (English)
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29 June 1993
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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.
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associahedron
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braided tensor category
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coherence
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symmetric monoidal categories
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Knizhnik-Zamolodchikov equations
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Grothendieck-Knudsen moduli space
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0.84345984
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0.83793443
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0.8358314
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0.83186847
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0.83062446
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0.8284075
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0.8279656
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0.8276249
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