Topological quantum field theory
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Quantum field theory and the Jones polynomial
Witten, E. (1989) · Communications in Mathematical Physics · doi:10.1007/bf01217730 · Cited by 4,758 · see citing works
2 + 1 dimensional gravity as an exactly soluble system
Witten, E. (1988) · Nuclear Physics B · doi:10.1016/0550-3213(88)90143-5 · Cited by 2,562 · see citing works
Topological quantum field theory
Witten, E. (1988) · Communications in Mathematical Physics · doi:10.1007/bf01223371 · Cited by 2,396 · see citing works
Pseudo holomorphic curves in symplectic manifolds
Gromov, M. L. (1985) · Inventiones mathematicae · doi:10.1007/bf01388806 · Cited by 2,064 · see citing works
The Self-Duality Equations on a Riemann Surface
Hitchin, N. J. (1987) · Proceedings of the London Mathematical Society · doi:10.1112/plms/s3-55.1.59 · Cited by 1,754 · see citing works
Hecke Algebra Representations of Braid Groups and Link Polynomials
Jones, V. F. R. (1987) · Annals of Mathematics · doi:10.2307/1971403 · Cited by 1,471 · see citing works
Supersymmetry and Morse theory
Witten, E. H. (1982) · Journal of Differential Geometry · doi:10.4310/jdg/1214437492 · Cited by 1,470 · see citing works
Witten, E. H. (1988) · Communications in Mathematical Physics · doi:10.1007/bf01466725 · Cited by 1,103 · see citing works
Elliptic genera and quantum field theory
Witten, E. H. (1987) · Communications in Mathematical Physics · doi:10.1007/bf01208956 · Cited by 458 · see citing works
Topology-changing amplitudes in 2 + 1 dimensional gravity
Witten, E. (1989) · Nuclear Physics B · doi:10.1016/0550-3213(89)90591-9 · Cited by 350 · see citing works
New invariants of 3- and 4-dimensional manifolds
Atiyah, M. F. (1988) · Proceedings of symposia in pure mathematics · doi:10.1090/pspum/048/974342 · Cited by 103 · see citing works
Self-citationMorse theory for fixed points of symplectic diffeomorphisms
Floer, A. (1987) · Bulletin of the American Mathematical Society · doi:10.1090/s0273-0979-1987-15517-0 · Cited by 52 · see citing works
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Invariants of 3-manifolds via link polynomials and quantum groups
Reshetikhin, N., & Turaev, V. G. (1991) · Inventiones Mathematicae · doi:10.1007/bf01239527 · Cited by 1,492 · see citing works
Linking topological quantum field theory and nonperturbative quantum gravity
Smolin, L. (1995) · Journal of Mathematical Physics · doi:10.1063/1.531251 · Cited by 234 · see citing works
State sum invariants of 4-manifolds
Crane, L., Kauffman, L. H., & Yetter, D. N. (1997) · Journal of Knot Theory and Its Ramifications · doi:10.1142/s0218216597000145 · Cited by 139 · see citing works
Basis of the Ponzano-Regge-Turaev-Viro-Ooguri quantum-gravity model is the loop representation basis
Rovelli, C. (1993) · Physical Review D · doi:10.1103/physrevd.48.2702 · Cited by 140 · see citing works
Four-dimensional BF theory as a topological quantum field theory
Baez, J. C. (1996) · Letters in Mathematical Physics · doi:10.1007/bf00398315 · Cited by 75 · see citing works
The perturbative Regge-calculus regime of loop quantum gravity
Bianchi, E., & Modesto, L. (2008) · Nuclear Physics B · doi:10.1016/j.nuclphysb.2007.12.011 · Cited by 34 · see citing works
- Authors
- Atiyah, M. F.
- Affiliations
- University of Oxford (GB)
- Corresponding author
- Atiyah, Michael F.
- Venue
- Publications Mathématiques de l'IHÉS
- Publisher
- MathDoc/Centre Mersenne
- Published
- 1988-01-07
- Volume
- 68
- Pages
- 175-186
- ISSN
- 0073-8301 (ISSN-L)
- 1618-1913
- OpenAlex
- W2012997603
- Cited by
- 976
- References
- 12
- Citations by year
- 2026: 29 · 2025: 66 · 2024: 48 · 2023: 87 · 2022: 38 · 2021: 46 · 2020: 44 · 2019: 49 · 2018: 38 · 2017: 40 · 2016: 41 · 2015: 26 · 2014: 21 · 2013: 31 · 2012: 33
- FWCI
- 5.26
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Publications mathématiques de l IHÉS (publishedVersion)
- French digital mathematics library (Numdam) (submittedVersion)
- Topics
- Physical Sciences › Mathematics › Geometry and Topology › Geometric and Algebraic Topology
- Physical Sciences › Mathematics › Mathematical Physics › Homotopy and Cohomology in Algebraic Topology
- Physical Sciences › Mathematics › Geometry and Topology › Algebraic structures and combinatorial models
- Keywords
- topological field theory, quantum field theory
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