Frobenius algebras and homotopy fixed points of group actions on bicategories
arXiv:1607.05148
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.
arXiv comment19 pages, published in TAC
References in corpus (6)
- The Classification of Two-Dimensional Extended Topological Field Theories
- A 2-categories companion
- D-branes and K-theory in 2D topological field theory
- Modular categories as representations of the 3-dimensional bordism 2-category
- Traces on Module Categories over Fusion Categories
- Homotopy types of strict 3-groupoids