Frobenius algebras and homotopy fixed points of group actions on bicategories

Autor:	Hesse, Jan, Schweigert, Christoph, Valentino, Alessandro
Rok vydání:	2016
Předmět:	Mathematics - Quantum Algebra Mathematics - Category Theory
Zdroj:	Theory Appl. Categ. 32 (2017), No. 18, p. 652-681
Druh dokumentu:	Working Paper
Popis:	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. Comment: 19 pages, published in TAC
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1607.05148 Zobrazit plný text záznamu View this record from Arxiv