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