Atiyah–Jones conjecture

In mathematics, the Atiyah–Jones conjecture is a conjecture about the homology of the moduli space of instantons over a sphere. It was introduced by Michael Francis Atiyah and John D. S. Jones (1978) and proved by Charles P. Boyer, Jacques C. Hurtubise, and Benjamin M. Mann et al. (1992, 1993).

References

• Atiyah, Michael Francis; Jones, John D. S. (1978), "Topological aspects of Yang-Mills theory", Communications in Mathematical Physics, 61 (2): 97–118, Bibcode:1978CMaPh..61...97A, doi:10.1007/bf01609489, ISSN 0010-3616, MR 0503187
• Boyer, Charles P.; Hurtubise, Jacques C.; Mann, Benjamin M.; Milgram, R. James (1992), "The Atiyah–Jones conjecture", Bulletin of the American Mathematical Society (New Series), 26 (2): 317–321, arXiv:math/9204226, doi:10.1090/S0273-0979-1992-00286-0, ISSN 0002-9904, MR 1130447
• Boyer, Charles P.; Hurtubise, Jacques C.; Mann, Benjamin M.; Milgram, R. James (1993), "The topology of instanton moduli spaces. I. The Atiyah–Jones conjecture", Annals of Mathematics, Second Series, The Annals of Mathematics, Vol. 137, No. 3, 137 (3): 561–609, doi:10.2307/2946532, ISSN 0003-486X, JSTOR 2946532, MR 1217348