PoS - Proceedings of Science
Volume 384 - XV Modave Summer School in Mathematical Physics (Modave2019) - Main session
Introductory Lectures on Topological Quantum Field Theory
W. Peelaers
Full text: pdf
Published on: April 07, 2020
Abstract
Topological quantum field theory (TQFT) is a vast and rich subject that relates in a profound manner physical observables to topological invariants. These lecture notes provide an elementary introduction to the subject. We will introduce Atiyah’s axiomatic definition of topological quantum field theories and explain how it provides a particularly intuitive, pictorial representation of the algebraic structure of two-dimensional TQFTs. We also consider Witten’s topological twist as a means to obtain so-called cohomological TQFTs. These notes are based on lectures given at the XV Modave Summer School in Mathematical Physics.
DOI: https://doi.org/10.22323/1.384.0002
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