Geodesic
Braided categorical groups and strictifying associators
Homology, homotopy, and applications, Tome 22 (2020) no. 2, pp. 295-321.

Voir la notice de l'article provenant de la source International Press of Boston

A key invariant of a braided categorical group is its quadratic form, introduced by Joyal and Street. We show that the categorical group is braided equivalent to a simultaneously skeletal and strictly associative one if and only if the quadratic form comes from a bilinear form. This generalizes the result of Johnson–Osorno that all Picard groupoids can simultaneously be strictified and skeletalized, except that in the braided case there is a genuine obstruction.
DOI : 10.4310/HHA.2020.v22.n2.a19
Classification : 18D10, 19D23
Keywords: braided categorical group, Picard groupoid, strictification, skeletalization, associator 
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     author = {Oliver Braunling},
     title = {Braided categorical groups and strictifying associators},
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     pages = {295--321},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2020.v22.n2.a19/}
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Oliver Braunling. Braided categorical groups and strictifying associators. Homology, homotopy, and applications, Tome 22 (2020) no. 2, pp. 295-321. doi : 10.4310/HHA.2020.v22.n2.a19. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2020.v22.n2.a19/

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