# Introductory lectures on topological quantum field theory

@article{Carqueville2017IntroductoryLO,
title={Introductory lectures on topological quantum field theory},
author={Nils Carqueville and Ingo Runkel},
journal={arXiv: Quantum Algebra},
year={2017}
}
• Published 16 May 2017
• Mathematics
• arXiv: Quantum Algebra
These notes offer a lightening introduction to topological quantum field theory in its functorial axiomatisation, assuming no or little prior exposure. We lay some emphasis on the connection between the path integral motivation and the definition in terms symmetric monoidal categories, and we highlight the algebraic formulation emerging from a formal generators-and-relations description. This allows one to understand (oriented, closed) 1- and 2-dimensional TQFTs in terms of a finite amount of…
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