论文标题
二维拓扑量子场理论简介
Introduction to 2-dimensional Topological Quantum Field Theory
论文作者
论文摘要
大部分关于功能性拓扑量子字段理论的独立脚本。这些注释对类别理论的基本概念进行了缓慢的介绍,该概念对恢复和(可交换)Frobenius代数进行了更深入的研究。在第四章中,TQFTS的公理定义是动机的,一些民间传说结果证明了(对称)单型函子和(交换性的)frobenius代数的等效性。该脚本可以作为入门课程的材料。
Mostly self-contained script on functorial topological quantum field theories. These notes give a slow introduction to the basic notions of category theory which serve a closer investigation of cobordisms and (commutative) Frobenius algebras. In the fourth chapter the axiomatic definition of TQFTs is motivated and some folklore results about the equivalence of (symmetric) monoidal functors and (commutative) Frobenius algebras are proven. The script can serve as material for an introductory course.