Conference item
Introductory lectures on topological quantum field theory
- 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.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Preview, Version of record, pdf, 1012.7KB, Terms of use)
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- Publisher copy:
- 10.22323/1.384.0002
Authors
- Publisher:
- Sissa Medialab
- Journal:
- Proceedings of Science More from this journal
- Volume:
- 384
- Pages:
- 1-14
- Publication date:
- 2020-04-07
- Acceptance date:
- 2020-03-27
- Event title:
- XV Modave Summer School in Mathematical Physics (Modave2019)
- Event location:
- Modave, Belgium
- Event website:
- https://pos.sissa.it/384/
- Event start date:
- 2019-09-08
- Event end date:
- 2019-09-14
- DOI:
- EISSN:
-
1824-8039
- Language:
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English
- Keywords:
- Pubs id:
-
1101666
- Local pid:
-
pubs:1101666
- Deposit date:
-
2020-05-15
- ARK identifier:
Terms of use
- Copyright holder:
- Wolfger Peelaers
- Copyright date:
- 2019
- Rights statement:
- © Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0)
- Notes:
- This paper was presented at the XV Modave Summer School in Mathematical Physics (Modave2019), Modave, Belgium, September 2019.
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