Quantum field theory and the Jones polynomial
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The action (14) can be written as the standard Chern-Simons action for the group ISO(2,1) with k=1/(4G).
“Equation (22) may be recognized as the standard Chern-Simons action [278] for the group ISO(2, 1).”
From Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe (2005) · cites this paper as [278]
For compact gauge groups, the quantization of Chern-Simons theory is well understood.
“For compact gauge groups, the quantization of Chern-Simons theory is well understood [278, 243, 244, 116, 34].”
From Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe (2005) · cites this paper as [278]
Cites
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- Authors
- Witten, E.
- Affiliations
- Institute for Advanced Study (US)
- Corresponding author
- Witten, Edward
- ORCID
- Witten, Edward
- Venue
- Communications in Mathematical Physics
- Published
- 1989-09
- Volume
- 121
- Issue
- 3
- Pages
- 351-399
- ISSN
- 0010-3616 (ISSN-L)
- 1432-0916
- OpenAlex
- W2007185418
- Cited by
- 4,758
- References
- 1
- Citations by year
- 2026: 129 · 2025: 183 · 2024: 145 · 2023: 220 · 2022: 164 · 2021: 173 · 2020: 148 · 2019: 148 · 2018: 167 · 2017: 139 · 2016: 179 · 2015: 150 · 2014: 157 · 2013: 149 · 2012: 145
- FWCI
- 209.24
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Communications in Mathematical Physics (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Geometry and Topology › Geometric and Algebraic Topology
- Physical Sciences › Mathematics › Geometry and Topology › Algebraic structures and combinatorial models
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Keywords
- Jones polynomial, Chern-Simons theory, knot invariants, three-manifold invariants, conformal field theory, topological field theory
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