Pregled bibliografske jedinice broj: 399530
The simplicial interpretation of bigroupoid 2-torsors
The simplicial interpretation of bigroupoid 2-torsors, 2009. (rukopis).
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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
POVEZANOST RADA
Projekti:
098-0982930-2900 - Nekomutativni prostori u fizici visokih energija
Ustanove:
Institut "Ruđer Bošković", Zagreb
Profili:
Igor Baković
(autor)