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arXiv · 1607.05148

Frobenius algebras and homotopy fixed points of group actions on bicategories

Jan Hesse·Christoph Schweigert·Alessandro Valentino
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Abstract

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.

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Jan Hesse, Christoph Schweigert, Alessandro Valentino. 2016-07-18. Frobenius algebras and homotopy fixed points of group actions on bicategories. https://arxiv.org/abs/1607.05148

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