The DOI matches its Crossref record; 6 of the 6 references it cites were found in a registry or an index.
On the variation in the cohomology of the symplectic form of the reduced phase space
Overview
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.
Integrity signals
Registry
Cites
Statistics
Verification
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.
Citations
Cites
Hörmander, L. (1971) · Acta Mathematica · doi:10.1007/bf02392052 · Cited by 2,306
The Index of Elliptic Operators: III
Atiyah, M. F., & Singer, I. M. (1968) · The Annals of Mathematics · doi:10.2307/1970717 · Cited by 1,254
Convexity properties of the moment mapping. II
Guillemin, V., & Sternberg, S. (1984) · Inventiones Mathematicae · doi:10.1007/bf01388837 · Cited by 643
Geometric quantization and multiplicities of group representations
Guillemin, V., & Sternberg, S. (1982) · Inventiones Mathematicae · doi:10.1007/bf01398934 · Cited by 601
Differential Operators on a Semisimple Lie Algebra
Harish-Chandra (1957) · American Journal of Mathematics · doi:10.2307/2372387 · Cited by 524
Theorie globale des connexions et des groupes d'holonomie
Lichnerowicz, A. (1955) · Edizioni Cremonese eBooks · Cited by 168
Cited by
Phases of N = 2 theories in two dimensions
Witten, E. (1993) · Nuclear Physics B · doi:10.1016/0550-3213(93)90033-l · Cited by 1,732
Localization of Gauge Theory on a Four-Sphere and Supersymmetric Wilson Loops
Pestun, V. (2012) · Communications in Mathematical Physics · doi:10.1007/s00220-012-1485-0 · Cited by 1,161
Two dimensional gauge theories revisited
Witten, E. (1992) · Journal of Geometry and Physics · doi:10.1016/0393-0440(92)90034-x · Cited by 651
Fermionic localization of the schwarzian theory
Stanford, D., & Witten, E. (2017) · Journal of High Energy Physics · doi:10.1007/jhep10(2017)008 · Cited by 392
Solving the Schwarzian via the conformal bootstrap
Mertens, T. G., Turiaci, G. J., & Verlinde, H. L. (2017) · Journal of High Energy Physics · doi:10.1007/jhep08(2017)136 · Cited by 357
Metadata
- Authors
- Duistermaat, J. J., & Heckman, G. J.
- Venue
- Inventiones Mathematicae
- Published
- 1982-06
- Volume
- 69
- Issue
- 2
- Pages
- 259-268
- ISSN
- 0020-9910 (ISSN-L)
- 1432-1297
- OpenAlex
- W1972043045
- Cited by
- 744
- References
- 6
- FWCI
- 7.57
- Type
- journal article
- Language
- en
- Open access
- closed
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
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: On the variation in the cohomology of the symplectic form of the reduced phase space. https://app.cochat.ai/papers/10.1007/bf01399506
- The paper
- Duistermaat, J. J., & Heckman, G. J. (1982). On the variation in the cohomology of the symplectic form of the reduced phase space. Inventiones Mathematicae. https://doi.org/10.1007/bf01399506
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.