Braided n-categories and $Σ$-structures

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We associate to a braided 2-stack ${\cal C}$ a torsor, endowed with a symmetric cube structure (or $Σ$-structure), whose triviality is equivalent to the existence on ${\cal C}$ of a fully symmetric monoidal structure. In order to perform the analogous construction for braided 4-stacks, it is necessary to introduce the notion of a $Γ_3$-torsor pair, which is in the same relation to cubic forms as torsors with $Σ$-structure are to quadratic ones.
25 pages, Latex, xyPic

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Category Theory, Algebraic Geometry, 18D10, 19D23, 14K25

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http://salesiana.dossiersoluciones.com/handle/123456789/77517

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9810045
 http://arxiv.org/abs/math/9810045

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arXiv