Geodesic
Generalized principal bundles and quotient stacks
Theory and applications of categories, Tome 39 (2023), pp. 567-597.

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

We consider the internalization of the usual notion of principal bundle in a site that has all pullbacks and a terminal object. We use this notion to consider the explicit construction of quotient prestacks via presheaves of categories of principal bundles equipped with equivariant morphisms in this abstract context. We then prove that, if the site is subcanonical and the underlying category satisfies some mild conditions, these quotient prestacks satisfy descent in the sense of stacks.
Publié le :
Classification : 18F20, 18F10, 18C40, 14A20, 18F15
Keywords: principal bundles, quotient stacks, classifying stacks, canonical topology 
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     author = {Elena Caviglia},
     title = {Generalized principal bundles and quotient stacks},
     journal = {Theory and applications of categories},
     pages = {567--597},
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     volume = {39},
     year = {2023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2023_39_a19/}
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Elena Caviglia. Generalized principal bundles and quotient stacks. Theory and applications of categories, Tome 39 (2023), pp. 567-597. http://geodesic.mathdoc.fr/item/TAC_2023_39_a19/