Combinatorial quantization of the Hamiltonian Chern-Simons theory II
Open accessThe claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cites
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
Current algebra and Wess-Zumino model in two dimensions
Knizhnik, V. G., & Zamolodchikov, A. B. (1984) · Nuclear Physics B · doi:10.1016/0550-3213(84)90374-2 · Cited by 1,838 · see citing works
Fusion rules and modular transformations in 2D conformal field theory
Verlinde, E. (1988) · Nuclear Physics B · doi:10.1016/0550-3213(88)90603-7 · Cited by 1,537 · see citing works
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
Ribbon graphs and their invaraints derived from quantum groups
Reshetikhin, N., & Turaev, V. G. (1990) · Communications in Mathematical Physics · doi:10.1007/bf02096491 · Cited by 1,066 · see citing works
Geometric quantization of Chern-Simons gauge theory
Axelrod, S., Della Pietra, S., & Witten, E. (1991) · Journal of Differential Geometry · doi:10.4310/jdg/1214446565 · Cited by 350 · see citing works
Central extensions of quantum current groups
Reshetikhin, N., & Semenov-Tian-Shansky, M. A. (1990) · Letters in Mathematical Physics · doi:10.1007/bf01045884 · Cited by 337 · see citing works
BRAID STATISTICS IN LOCAL QUANTUM THEORY
Fröhlich, J. M., & Gabbiani, F. (1990) · Reviews in Mathematical Physics · doi:10.1142/s0129055x90000107 · Cited by 236 · see citing works
Quasi Hopf quantum symmetry in quantum theory
Mack, G., & Schomerus, V. (1992) · Nuclear Physics B · doi:10.1016/0550-3213(92)90350-k · Cited by 180 · see citing works
Self-citationDerivation of the Verlinde formula from Chern-Simons theory and the G/G model
Blau, M., & Thompson, G. (1993) · Nuclear Physics B · doi:10.1016/0550-3213(93)90538-z · Cited by 159 · see citing works
Relativistic Calogero-Moser model as gauged WZW theory
Gorsky, A., & Nekrasov, N. A. (1995) · Nuclear Physics B · doi:10.1016/0550-3213(94)00499-5 · Cited by 152 · see citing works
On the Wess-Zumino-Witten models on Riemann surfaces
Bernard, D. (1988) · Nuclear Physics B · doi:10.1016/0550-3213(88)90236-2 · Cited by 101 · see citing works
Two dimensional lattice gauge theory based on a quantum group
Buffenoir, E., & Roche, P. (1995) · Communications in Mathematical Physics · doi:10.1007/bf02099153 · Cited by 99 · see citing works
q-deformed lattice gauge theory and 3-manifold invariants
BOULATOV, D. V. (1993) · Research at the University of Copenhagen (University of Copenhagen) · Cited by 23 · see citing works
Localization in GWZW and Verlinde formulaPreprint
Gerasimov, A. A. (1993) · arXiv (Cornell University) · doi:10.48550/arxiv.hep-th/9305090 · Cited by 23 · see citing works
q-DEFORMED LATTICE GAUGE THEORY AND 3-MANIFOLD INVARIANTS
BOULATOV, D. V. (1993) · International Journal of Modern Physics A · doi:10.1142/s0217751x93001259 · Cited by 18 · see citing works
Mack, G., & Schomerus, V. (1992) · Communications in Mathematical Physics · doi:10.1007/bf02096941 · Cited by 16 · see citing works
Self-citationConstruction of field algebras with quantum symmetry from local observables
Schomerus, V. (1995) · Communications in Mathematical Physics · doi:10.1007/bf02101601 · Cited by 11 · see citing works
Self-citation
Flagged first, then by citations
Research works printed but not linked: 2
- [2][2] V.V. Fock, A.A. Rosly, Poisson structures on moduli of flat connections on Riemann surfaces and r-matrices , preprint ITEP 72-92, June 1992, Moscow -
- [10][10] V.G. Drinfel'd, Quasi Hopf algebras and Knizhnik Zamolodchikov equations , in: Problems of modern quantum field theory, Proceedings Alushta 1989, Research reports in physics, Springer Verlag Heidelberg 1989 V.G. Drinfel'd, Quasi-Hopf algebras , Leningrad. Math. J. Vol. 1 (1990), No. 6 -
Cited by
Sorted by citations
Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe
Carlip, S. (2005) · Living Reviews in Relativity · doi:10.12942/lrr-2005-1 · Cited by 172 · see citing works
Alexandrov, S., & Livine, E. R. (2003) · Physical Review D · doi:10.1103/physrevd.67.044009 · Cited by 141 · see citing works
Perez, A., & Pranzetti, D. (2010) · Classical and Quantum Gravity · doi:10.1088/0264-9381/27/14/145009 · Cited by 53 · see citing works
- Authors
- Alekseev, A. Y., Grosse, H., & Schomerus, V.
- Affiliations
- Uppsala University (SE)
- University of Vienna (AT)
- Harvard University (US)
- Venue
- Communications in Mathematical Physics
- Published
- 1996-01
- Volume
- 174
- Issue
- 3
- Pages
- 561-604
- ISSN
- 0010-3616 (ISSN-L)
- 1432-0916
- OpenAlex
- W4243077008
- Cited by
- 103
- References
- 18
- Citations by year
- 2026: 1 · 2025: 5 · 2024: 9 · 2023: 2 · 2022: 7 · 2021: 7 · 2020: 3 · 2019: 6 · 2018: 3 · 2017: 5 · 2016: 1 · 2015: 6 · 2014: 7 · 2013: 4 · 2012: 2
- FWCI
- 3.47
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Communications in Mathematical Physics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Project Euclid (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Mathematics › Geometry and Topology › Algebraic structures and combinatorial models
- Physical Sciences › Mathematics › Geometry and Topology › Geometric and Algebraic Topology
- Physical Sciences › Mathematics › Mathematical Physics › Homotopy and Cohomology in Algebraic Topology
- Keywords
- Chern-Simons theory, Verlinde algebra, flat connections, quantum moduli space, algebra of observables, deformation quantization, Poisson brackets, lattice Yang-Mills theory, partition function
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review