Frobenius algebras and homotopy fixed points of group actions on bicategories
Quantum Algebra
2017-07-26 v2 Category Theory
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.
Keywords
Cite
@article{arxiv.1607.05148,
title = {Frobenius algebras and homotopy fixed points of group actions on bicategories},
author = {Jan Hesse and Christoph Schweigert and Alessandro Valentino},
journal= {arXiv preprint arXiv:1607.05148},
year = {2017}
}
Comments
19 pages, published in TAC