The DOI matches its Crossref record; 15 of the 15 references it cites were found in a registry or an index.
An application of gauge theory to four-dimensional topology
Open accessAbstract
Soit X une u-variete compacte reguliere simplement connexe orientee avec la propriete que la forme associee Q est definie positive. Alors cette forme est equivalente, sur les entiers, a la forme diagonale standard, soit dans une base: Q(u 1 ,u 2 ,...u 2 )=u 2 1 +u 2 2 +...+u 2 2
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Cites
Serre, J.-P. (1973) · Graduate Texts in Mathematics · doi:10.1007/978-1-4684-9884-4 · Cited by 1,715 · cited 2×
“This was done by Kuranishi in [10] and by Smale in [16]; we shall use the following simple lemma, in which all maps are to be intepreted as germs about the origin.”
BackgroundMethodSelf-duality in four-dimensional Riemannian geometry
Atiyah, M. F., Hitchin, N. J., & Singer, I. M. (1978) · Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences · doi:10.1098/rspa.1978.0143 · Cited by 1,428
The Existence of Minimal Immersions of 2-Spheres
Sacks, J., & Uhlenbeck, K. K. (1981) · Annals of Mathematics · doi:10.2307/1971131 · Cited by 831
Connections withL P bounds on curvature
Uhlenbeck, K. K. (1982) · Communications in Mathematical Physics · doi:10.1007/bf01947069 · Cited by 646
The Index of Elliptic Operators: IV
Atiyah, M. F., & Singer, I. M. (1971) · The Annals of Mathematics · doi:10.2307/1970756 · Cited by 529
Complex Manifolds without Potential Theory
Chern, S.-S. (1979) · Universitext · doi:10.1007/978-1-4684-9344-3 · Cited by 451
Removable singularities in Yang-Mills fields
Uhlenbeck, K. K. (1982) · Communications in Mathematical Physics · doi:10.1007/bf01947068 · Cited by 414
The Theory and Applications of Harmonic Integrals
Hodge, W. V. D. (1989) · Cited by 277
Self-dual Yang-Mills connections on non-self-dual 4-manifolds
Taubes, C. H. (1982) · Journal of Differential Geometry · doi:10.4310/jdg/1214436701 · Cited by 220
New Proof for the Existence of Locally Complete Families of Complex Structures
Kuranishi, M. (1965) · Proceedings of the Conference on Complex Analysis · doi:10.1007/978-3-642-48016-4_13 · Cited by 196
Cited by
Irrationality and the $h$-cobordism conjecture
Donaldson, S. K. (1987) · Journal of Differential Geometry · doi:10.4310/jdg/1214441179 · Cited by 271
Self-citationState 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
Metadata
- Authors
- Donaldson, S. K.
- Venue
- Journal of Differential Geometry
- Publisher
- International Press of Boston
- Published
- 1983-01-01
- Volume
- 18
- Issue
- 2
- ISSN
- 0022-040X (ISSN-L)
- OpenAlex
- W1509221714
- Cited by
- 819
- References
- 15
- FWCI
- 25.52
- Type
- journal article
- Language
- en
- Open access
- bronze
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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