Geodesic
Frobenius algebras and homotopy fixed points of group actions on bicategories
Theory and applications of categories, Tome 32 (2017), pp. 652-681

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

We explicitly show that symmetric Frobenius structures on a finite-dimensional, semi-simple algebra stand in bijection to homotopy fixed points of the trivial SO(2)-action on the bicategory of finite-dimensional, semi-simple algebras, bimodules and intertwiners. The results are motivated by the 2-dimensional Cobordism Hypothesis for oriented manifolds, and can hence be interpreted in the realm of Topological Quantum Field Theory.

Publié le :
Classification : 18D05
Keywords: symmetric Frobenius algebras, homotopy fixed points, group actions on bicategories 
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     author = {Jan Hesse and Christoph Schweigert and Alessandro Valentino},
     title = {Frobenius algebras and homotopy fixed points of group actions on bicategories},
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     publisher = {mathdoc},
     volume = {32},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2017_32_a17/}
}
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Jan Hesse; Christoph Schweigert; Alessandro Valentino. Frobenius algebras and homotopy fixed points of group actions on bicategories. Theory and applications of categories, Tome 32 (2017), pp. 652-681. http://geodesic.mathdoc.fr/item/TAC_2017_32_a17/