The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
A Path Integral Approach¶to the Kontsevich Quantization Formula
Open accessAbstract
Abstract: We give a quantum field theory interpretation of Kontsevich's deformation quantization formula for Poisson manifolds. We show that it is given by the perturbative expansion of the path integral of a simple topological bosonic open string theory. Its Batalin–Vilkovisky quantization yields a superconformal field theory. The associativity of the star product, and more generally the formality conjecture can then be understood by field theory methods. As an application, we compute the center of the deformed algebra in terms of the center of the Poisson algebra.
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
The partition function of degenerate quadratic functional and Ray-Singer invariants
Schwarz, A. S. (1978) · Letters in Mathematical Physics · doi:10.1007/bf00406412 · Cited by 389
Cited by
Douglas, M., & Nekrasov, N. (2001) · Reviews of Modern Physics · doi:10.1103/revmodphys.73.977 · Cited by 2,096
How higher-spin gravity surpasses the spin-two barrier
Bekaert, X., Boulanger, N., & Sundell, P. A. (2012) · Reviews of Modern Physics · doi:10.1103/revmodphys.84.987 · Cited by 289
Metadata
- Authors
- Cattaneo, A. S., & Felder, G.
- Venue
- Communications in Mathematical Physics
- Published
- 2000-08
- Volume
- 212
- Issue
- 3
- Pages
- 591-611
- ISSN
- 0010-3616 (ISSN-L)
- OpenAlex
- W2106817500
- Cited by
- 417
- References
- 1
- FWCI
- 53.04
- Type
- journal article
- Language
- en
- Open access
- green
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: A Path Integral Approach¶to the Kontsevich Quantization Formula. https://app.cochat.ai/papers/10.1007/s002200000229
- The paper
- Cattaneo, A. S., & Felder, G. (2000). A Path Integral Approach¶to the Kontsevich Quantization Formula. Communications in Mathematical Physics. https://doi.org/10.1007/s002200000229
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.
