Introduction to 2-dimensional Topological Quantum Field Theory
Quantum Algebra
2023-10-05 v2 Mathematical Physics
Category Theory
math.MP
Abstract
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.
Cite
@article{arxiv.2206.12448,
title = {Introduction to 2-dimensional Topological Quantum Field Theory},
author = {Leon Menger},
journal= {arXiv preprint arXiv:2206.12448},
year = {2023}
}
Comments
94 pages + bibliography + index