M. F. Atiyah, N. J. Hitchin, and I. M. Singer :
“Deformations of instantons ,”
Proc. Nat. Acad. Sci. U.S.A.
74 : 7
(July 1977 ),
pp. 2662–2663 .
MR
458424
Zbl
0356.58011
article
Abstract
People
BibTeX
@article {key458424m,
AUTHOR = {Atiyah, M. F. and Hitchin, N. J. and
Singer, I. M.},
TITLE = {Deformations of instantons},
JOURNAL = {Proc. Nat. Acad. Sci. U.S.A.},
FJOURNAL = {Proceedings of the National Academy
of Sciences of the United States of
America},
VOLUME = {74},
NUMBER = {7},
MONTH = {July},
YEAR = {1977},
PAGES = {2662--2663},
URL = {http://www.pnas.org/content/74/7/2662.short},
NOTE = {MR:458424. Zbl:0356.58011.},
ISSN = {0027-8424},
}
M. F. Atiyah, N. J. Hitchin, V. G. Drinfel’d, and Yu. I. Manin :
“Construction of instantons ,”
Phys. Lett. A
65 : 3
(1978 ),
pp. 185–187 .
MR
598562
article
Abstract
People
BibTeX
@article {key598562m,
AUTHOR = {Atiyah, M. F. and Hitchin, N. J. and
Drinfel{\cprime}d, V. G. and Manin,
Yu. I.},
TITLE = {Construction of instantons},
JOURNAL = {Phys. Lett. A},
FJOURNAL = {Physics Letters A},
VOLUME = {65},
NUMBER = {3},
YEAR = {1978},
PAGES = {185--187},
DOI = {10.1016/0375-9601(78)90141-X},
NOTE = {MR:598562.},
ISSN = {0031-9163},
}
M. F. Atiyah, N. J. Hitchin, and I. M. Singer :
“Self-duality in four-dimensional Riemannian geometry ,”
Proc. Roy. Soc. London Ser. A
362 : 1711
(September 1978 ),
pp. 425–461 .
MR
506229
Zbl
0389.53011
article
Abstract
People
BibTeX
@article {key506229m,
AUTHOR = {Atiyah, M. F. and Hitchin, N. J. and
Singer, I. M.},
TITLE = {Self-duality in four-dimensional {R}iemannian
geometry},
JOURNAL = {Proc. Roy. Soc. London Ser. A},
FJOURNAL = {Proceedings of the Royal Society. London.
Series A. Mathematical and Physical
Sciences},
VOLUME = {362},
NUMBER = {1711},
MONTH = {September},
YEAR = {1978},
PAGES = {425--461},
DOI = {10.1098/rspa.1978.0143},
NOTE = {MR:506229. Zbl:0389.53011.},
ISSN = {0080-4630},
}
M. F. Atiyah :
“The moment map in symplectic geometry ,”
pp. 43–51
in
Global Riemannian geometry
(Durham University, UK, July 1983 ).
Edited by T. Willmore and N. J. Hitchin .
Mathematics and its Applications .
Ellis Horwood (Chichester, UK ),
1984 .
MR
757204
Zbl
0615.53023
incollection
People
BibTeX
@incollection {key757204m,
AUTHOR = {Atiyah, M. F.},
TITLE = {The moment map in symplectic geometry},
BOOKTITLE = {Global {R}iemannian geometry},
EDITOR = {Thomas Willmore and Nigel J. Hitchin},
SERIES = {Mathematics and its Applications},
PUBLISHER = {Ellis Horwood},
ADDRESS = {Chichester, UK},
YEAR = {1984},
PAGES = {43--51},
NOTE = {(Durham University, UK, July 1983).
MR:757204. Zbl:0615.53023.},
ISBN = {9780470200179},
}
M. F. Atiyah :
“The Yang–Mills equations and the structure of 4-manifolds ,”
pp. 11–17
in
Global Riemannian geometry
(Durham University, UK, July 1983 ).
Edited by T. Willmore and N. J. Hitchin .
Series in Mathematics and its Applications .
Ellis Horwood (Chichester, UK ),
1984 .
MR
757200
Zbl
0614.57007
incollection
People
BibTeX
@incollection {key757200m,
AUTHOR = {Atiyah, M. F.},
TITLE = {The {Y}ang--{M}ills equations and the
structure of 4-manifolds},
BOOKTITLE = {Global {R}iemannian geometry},
EDITOR = {Thomas Willmore and Nigel J. Hitchin},
SERIES = {Series in Mathematics and its Applications},
PUBLISHER = {Ellis Horwood},
ADDRESS = {Chichester, UK},
YEAR = {1984},
PAGES = {11--17},
NOTE = {(Durham University, UK, July 1983).
MR:757200. Zbl:0614.57007.},
ISBN = {9780470200179},
}
M. F. Atiyah and N. J. Hitchin :
“Low energy scattering of nonabelian monopoles ,”
Phys. Lett. A
107 : 1
(1985 ),
pp. 21–25 .
MR
778313
Zbl
1177.53069
article
Abstract
People
BibTeX
@article {key778313m,
AUTHOR = {Atiyah, M. F. and Hitchin, N. J.},
TITLE = {Low energy scattering of nonabelian
monopoles},
JOURNAL = {Phys. Lett. A},
FJOURNAL = {Physics Letters A},
VOLUME = {107},
NUMBER = {1},
YEAR = {1985},
PAGES = {21--25},
DOI = {10.1016/0375-9601(85)90238-5},
NOTE = {MR:778313. Zbl:1177.53069.},
ISSN = {0375-9601},
}
M. Atiyah, N. J. Hitchin, J. T. Stuart, and M. Tabor :
“Low-energy scattering of nonabelian magnetic monopoles [and discussion] ,”
Philos. Trans. Roy. Soc. London Ser. A
315 : 1533
(1985 ),
pp. 459–469 .
MR
836746
article
Abstract
People
BibTeX
The Bogomolny equations represent static configurations of magnetic monopoles, for some non-Abelian group such as \( \mathit{SU}(2) \) . Geodesic motion on this configuration space represents slowly moving interacting monopoles. Geometric information on this space can then be used to investigate the scattering of monopoles. The results show surprising features, including a 90 degrees scattering and the conversion of angular momentum into electric charge.
@article {key836746m,
AUTHOR = {Atiyah, Michael and Hitchin, N. J. and
Stuart, J. T. and Tabor, M.},
TITLE = {Low-energy scattering of nonabelian
magnetic monopoles [and discussion]},
JOURNAL = {Philos. Trans. Roy. Soc. London Ser.
A},
FJOURNAL = {Philosophical Transactions of the Royal
Society A: Mathematical, Physical \&
Engineering Sciences},
VOLUME = {315},
NUMBER = {1533},
YEAR = {1985},
PAGES = {459--469},
DOI = {10.1098/rsta.1985.0052},
NOTE = {MR:836746.},
ISSN = {0080-4614},
}