Naslov
The simplicial interpretation of bigroupoid 2-torsors

Autori
Baković, Igor

Izvornik
Arxiv.org

Vrsta, podvrsta
Ostale vrste radova, rukopis

Godina
2009

Ključne riječi
bigroupoid; torsor; Duskin nerve; Duskin-Glenn 2-torsor

Sažetak
Actions of bicategories arise as categorification of actions of categories. They appear in a variety of different contexts in mathematics, from Moerdijk's classification of regular Lie groupoids in foliation theory, to Waldmann's work on deformation quantization. For any such action we introduce an action bicategory, together with a canonical projection (strict) 2-functor to the bicategory which acts. When the bicategory is a bigroupoid, we can impose the additional condition that action is principal in bicategorical sense, giving rise to a bigroupoid 2-torsor. In that case, the Duskin nerve of the canonical projection is precisely the Duskin-Glenn simplicial 2-torsor.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Fizika

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