The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
The Structure of the Spin Cobordism Ring
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Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“Interestingly, Ω Spin 3 = 0, implying that any three-dimensional manifold can be topologically shrunk to a point, including the one consistent with periodic supersymmetry-preserving boundary conditions!”
From Nothing is certain in string compactifications (2020) · cites this paper as [9]
In the citing paper
“The topological obstruction lies in a bordism group and, surprisingly, it can disappear even for a SUSY-compatible spin structure.”
From Nothing is certain in string compactifications (2020) · cites this paper as [9]
In the citing paper
“Moreover, the topological obstruction is also absent when there are six and seven extra dimensions since Ω Spin 6 = Ω Spin 7 = 0.”
From Nothing is certain in string compactifications (2020) · cites this paper as [9]
In the citing paper
“Then, there will be no topological obstruction to a bubble of nothing for a given compact space C d , i.e. there is a manifold B d+1 such that ∂B d+1 ∼ = C d , when C d belongs to the trivial class in Ω Spin d .”
From Nothing is certain in string compactifications (2020) · cites this paper as [9]
In the citing paper
“The mathematical fact that protects supersymmetric compactifications on S 1 from the decay to nothing is that the one-dimensional Spin bordism, Ω Spin 1 = Z 2 , has a non-trivial element.The trivial class corresponds to the circle with antiperiodic (susybreaking) boundary conditions, and so that B 2 ∼ = D is topologically a disc.The nontrivial class is generated precisely by an S 1 with a periodic”
From Nothing is certain in string compactifications (2020) · cites this paper as [9]
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Citations
Cites
On the Structure of Hopf Algebras
Milnor, J. W., & Moore, J. C. (1965) · The Annals of Mathematics · doi:10.2307/1970615 · Cited by 1,489
Cited by
Nothing is certain in string compactifications
Etxebarria, I. G., Montero, M., Sousa, K., & Valenzuela, I. (2020) · Journal of High Energy Physics · doi:10.1007/jhep12(2020)032 · Cited by 87
Metadata
- Authors
- Anderson, D. W., Brown, E. H., & Peterson, F. P.
- Venue
- The Annals of Mathematics
- Publisher
- JSTOR
- Published
- 1967-09
- Volume
- 86
- Issue
- 2
- Pages
- 271
- ISSN
- 0003-486X
- Cited by
- 118
- References
- 1
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.
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Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: The Structure of the Spin Cobordism Ring. https://app.cochat.ai/papers/10.2307/1970690
- The paper
- Anderson, D. W., Brown, E. H., & Peterson, F. P. (1967). The Structure of the Spin Cobordism Ring. The Annals of Mathematics. https://doi.org/10.2307/1970690
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.
