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The Atiyah-Jones Conjecture
Author(s):
C.
P.
Boyer;
J.
C.
Hurtubise;
B.
M.
Mann;
R.
J.
Milgram
Journal:
Bull. Amer. Math. Soc.
26
(1992),
317-321.
MSC (1991):
Primary 32G13, 55P35;
Secondary 14F05, 81E10
MathSciNet review:
1130447
Retrieve article in:
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References |
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Additional information
References:
- [A]
- M. F. Atiyah, Instantons in two and four dimensions, Comm. Math. Phys. \textbf{93} (1984), 437--451. MR 763752
- [AJ]
- M. F. Atiyah and J. D. Jones, Topological aspects of Yang-Mills theory, Comm. Math. Phys. \textbf{61} (1978), 97--118. MR 503187
- [BHMM1]
- C. P. Boyer, J. C. Hurtubise, B. M. Mann, and R. J. Milgram, The topology of instanton moduli spaces. {\rm I:} The Atiyah-Jones conjecture, Ann. of Math. (2),. MR 1217348
- [BHMM2]
- C. P. Boyer, J. C. Hurtubise, B. M. Mann, and R. J. Milgram, The topology of instanton moduli spaces. {\rm II:} The Toeplitz varieties, in preparation. MR
- [BoMa]
- C. P. Boyer and B. M. Mann, Homology operations on instantons, J. Differential Geom. \textbf{28} (1988), 423--465. MR 965223
- [D]
- S. K. Donaldson, Instantons and geometric invariant theory, Comm. Math. Phys. \textbf{93} (1984), 453--461. MR 763753
- [Gra]
- J. Gravesen, On the topology of spaces of holomorphic maps, Acta Math. \textbf{162} (1989), 247--286. MR 989398
- [Hu1]
- J. C. Hurtubise, Instantons and jumping lines, Comm. Math. Phys. \textbf{105} (1986), 107--122. MR 847130
- [Hu2]
- J. C. Hurtubise, The classification of monopoles for the classical groups, Comm. Math. Phys. \textbf{120} (1989), 613--641. MR 987771
- [HM]
- J. C. Hurtubise and M. K. Murray, On the construction of monopoles for the classical groups, Comm. Math. Phys. \textbf{122} (1989), 35--89. MR 994495
- [MM1]
- B. M. Mann and R. J. Milgram, Some spaces of holomorphic maps to complex Grassmann manifolds, J. Differential Geom. \textbf{33} (1991), 301--324. MR 1094457
- [MM2]
- B. M. Mann and R. J. Milgram, On the moduli space of SU(n) monopoles and holomorphic maps to flag manifolds, preprint, UNM and Stanford University, 1991. MR 1231702
- [T1]
- C. H. Taubes, Path-connected Yang-Mills moduli spaces, J. Differential Geom. \textbf{19} (1984), 337--392. MR 755230
- [T2]
- C. H. Taubes, The stable topology of self-dual moduli spaces, J. Differential Geom. \textbf{29} (1989), 163--230. MR 978084
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32G13, 55P35, 14F05, 81E10
Additional Information:
DOI:
10.1090/S0273-0979-1992-00286-0
PII:
S 0273-0979(1992)00286-0
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