@incollection{SB_1991-1992__34__137_0,
author = {Hitchin, Nigel},
title = {Hyperk\"ahler manifolds},
booktitle = {S\'eminaire Bourbaki : volume 1991/92, expos\'es 745-759},
series = {Ast\'erisque},
note = {talk:748},
pages = {137--166},
year = {1992},
publisher = {Soci\'et\'e math\'ematique de France},
number = {206},
mrnumber = {1206066},
zbl = {0979.53051},
language = {en},
url = {https://www.numdam.org/item/SB_1991-1992__34__137_0/}
}
TY - CHAP AU - Hitchin, Nigel TI - Hyperkähler manifolds BT - Séminaire Bourbaki : volume 1991/92, exposés 745-759 AU - Collectif T3 - Astérisque N1 - talk:748 PY - 1992 SP - 137 EP - 166 IS - 206 PB - Société mathématique de France UR - https://www.numdam.org/item/SB_1991-1992__34__137_0/ LA - en ID - SB_1991-1992__34__137_0 ER -
%0 Book Section %A Hitchin, Nigel %T Hyperkähler manifolds %B Séminaire Bourbaki : volume 1991/92, exposés 745-759 %A Collectif %S Astérisque %Z talk:748 %D 1992 %P 137-166 %N 206 %I Société mathématique de France %U https://www.numdam.org/item/SB_1991-1992__34__137_0/ %G en %F SB_1991-1992__34__137_0
Hitchin, Nigel. Hyperkähler manifolds, dans Séminaire Bourbaki : volume 1991/92, exposés 745-759, Astérisque, no. 206 (1992), Exposé no. 748, 30 p.. https://www.numdam.org/item/SB_1991-1992__34__137_0/
[AHS] , and - Self-duality in four-dimensional Riemannian geometry, Proc. Roy. Soc. Lond. A362 (1978), 425-461. | Zbl | MR
[AB] and - The Yang-Mills equations over Riemann surfaces, Phil. Trans. Roy. Soc. Lond. A308 (1982), 523-615. | Zbl | MR
[AH] and - "The geometry and dynamics of magnetic monopoles ", Princeton University Press, Princeton (1988). | Zbl | MR
[Bea] - Variétés Kählériennes dont la 1ère classe de Chern est nulle, J. Diff. Geometry 18 (1983), 755-782. | Zbl | MR
[Be] - "Einstein manifolds", Springer Verlag, Berlin (1987). | Zbl | MR
[Bo] - Curvature in Hermitian metric, Bull. Amer. Math. Soc. 53 (1947) 179-195. | Zbl | MR
[Bu] - Some examples of the twistor construction, in "Contributions to several complex variables: in honor of Wilhelm Stoll" (eds. A. Howard and P. -M. Wong), Vieweg, Braunschweig (1986). | Zbl | MR
[BvB] and - Nahm's transformation for instantons, Commun. Math. Phys. 122 (1989), 267-280. | Zbl | MR
[Ca] - Métriques kählériennes et fibrés holomorphes, Ann. Éc. Norm. Sup. 12 (1979) 269-294. | Zbl | MR | Numdam
[Co] - Flat G-bundles with canonical metrics, J. Diff. Geometry 28 (1988) 351-382. | Zbl | MR
[D1] - Nahm's equations and the classification of monopoles, Commun. Math. Phys. 96 (1984) 387-407. | Zbl | MR
[D2] - Twisted harmonic maps and the self-duality equations, Proc. London Math. Soc. 55 (1987) 127-131. | Zbl | MR
[D3] - Boundary value problems for Yang-Mills fields, preprint (Oxford) (1991). | MR
[EH] and - Asymptotically flat self-dual solutions to Euclidean gravity, Phys. Lett. 74B (1978) 249-251. | MR
[ES] and - Harmonic mappings of Riemannian manifolds, Amer. J. Math. 86 (1964) 109-160. | Zbl | MR
[GL] and - Quaternionic reduction and quaternionic orbifolds, Math. Ann. 282 (1988) 1-21. | Zbl | MR
[G] - The symplectic nature of fundamental groups of surfaces, Adv. in Math. 54 (1984) 200-225. | Zbl | MR
[Gr] - A note on manifolds whose holonomy group is a subgroup of Sp(n).Sp(1), Michigan Math. J. 16 (1969) 125-128. | Zbl | MR
[Ha] - "Harmonic maps of manifolds with boundary", Lecture Notes in Mathematics 471, Springer Verlag, Berlin (1975). | Zbl | MR
[H] - letter to P. G. Tait, October 15th, 1858.
[H1] - Polygons and gravitons, Math. Proc. Camb. Phil. Soc. 85 (1979) 465-476. | Zbl | MR
[H2] - Linear field equations on self-dual spaces, Proc. Roy. Soc. Lond. A370 (1980) 173-191. | Zbl | MR
[H3] - On the construction of monopoles, Commun. Math. Phys. 89 (1983) 145-190. | Zbl | MR
[H4] - Twistor construction of Einstein metrics, in "Global Riemannian geometry" (eds. T. J. Willmore and N. J. Hitchin), Ellis Horwood, Chichester (1984) | Zbl | MR
[H5] - The self-duality equations on a Riemann surface, Proc. London Math. Soc. 55 (1987) 59-126. | Zbl | MR
[HKLR] , , and - Hyperkähler metrics and supersymmetry, Commun. Math. Phys. 108 (1987) 535-59. | Zbl | MR
[J] - The hypercomplex quotient and the quaternionic quotient, Math. Ann. 290 (1991) 323-340. | Zbl | MR
[Ki] - "Cohomology of quotients in symplectic and algebraic geometry", Princeton University Press, Princeton (1985). | Zbl | MR
[K1] - Instantons gravitationelles et singularités de Klein, C. R. Acad. Sci. Paris Sér. 1 Math. 303 (1986) 53-55. | Zbl | MR
[K2] The construction of ALE spaces as hyperkähler quotients, J. Diff. Geometry 29 (1989) 665-683. | Zbl | MR
[K3] . - A hyperkählerian structure on coadjoint orbits of a semisimple Lie group, J. London Math. Soc. 42 (1990) 193-208. | Zbl | MR
[Ma] - Metrics on the moduli spaces of instantons over Euclidean 4-space, Commun. Math. Phys. 135 (1991) 467-482. | Zbl | MR
[McK] - Graphs, singularities and finite groups, Proc. Sympos. Pure Math. Vol. 37, American mathematical Society, Providence (1980) 183-186. | Zbl | MR
[N] - Monopoles and Nahm's equations, preprint (Tokyo) (1991).
[NS] and - Stable and unitary vector bundles on a compact Riemann surface, Ann. of Math. 82 (1965) 540-567. | Zbl | MR
[P] - Nonlinear gravitons and curved twistor theory, Gen. Relativ. Grav. 7 (1976) 31-52. | Zbl | MR
[PS] and - "Loop groups", Oxford University Press, Oxford (1986). | Zbl
[S] - Differential geometry of quaternionic manifolds, Ann. Sci. Éc. Norm. Sup. Paris 19 (1986) 31-55. | Zbl | MR | Numdam
[Y] - On Catabi's conjecture and some new results in algebraic geometry, Proc. Nat. Acad. Sci. USA 74 (1977) 1798-1799. | Zbl | MR
