Homology of moduli spaces of instantons on ALE spaces. I

Journal of Differential Geometry

Volumn 40, Issue 1, 1994, Pages 105-127

  Nakajima, Hiraku ^a  

^a TOHOKU UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84972506669     PISSN: 0022040X     EISSN: 1945743X     Source Type: Journal    
DOI: 10.4310/jdg/1214455288     Document Type: Article

References (21)

1. M. F. Atiyah, Convexity and commuting Hamiltonians, Bull. London Math. Soc. 14 (1982) 1-15.
2. M. F. Atiyah, V. K. Patodi & I. M. Singer, Spectral asymmetry and Riemannian geometry. I, Math. Proc. Cambridge Philos. Soc. 77 (1975) 43-69.
3. W. Borho & R. MacPherson, Partial resolutions of nilpotent varieties, Astérisque 101-102 (1983) 23-74.
4. H. Donnely, Eta invariants for G-spaces, Indiana Univ. Math. J. 27 (1978) 889-918.
5. T. Frankel, Fixed points and torsion on Kähler manifolds, Ann. of Math. (2) 70 (1959) 1-8.
6. W. Fulton & J. Harris, Representation theory; A first course, Graduate Texts in Math., vol. 129, Springer, Berlin, 1991.
7. T. Gocho & H. Nakajima, Einstein-Hermitian connections on hyper-Kähler quotients, J. Math. Soc. Japan 44 (1992) 43-51.
8. R. Goto, On toric hyper-Kähler manifolds given by the hyper-Kähler quotient method, Infinite Analysis, Advanced Ser. Math. Phys. 16, World Sci. Publ., Singapore and Teaneck, NJ, 317-338, 1992.
9. N. J. Hitchin, A. Karlhede, U. Lindström & M. Roček, Hyperkähler metrics and supersymmetry, Comm. Math. Phys. 108 (1987) 535-589.
10. n), Math. Ann. 241 (1979) 193-208.
11. F.C. Kirwan, Cohomology of quotients in symplectic and algebraic geometry, Math. Notes, Princeton Univ. Press, Princeton, NJ, 1985.
12. P. B. Kronheimer, The construction of ALE spaces as a hyper-Kähler quotients, J. Differential Geometry 29 (1989) 665-683.
13. P. B. Kronheimer & H. Nakajima, Yang-Mills instantons on ALE gravitational instantons, Math. Ann. 288 (1990) 263-307.
14. A. Maciocia, Metrics on the moduli spaces of instantons over Euclidean 4-space, Comm. Math. Phys. 135 (1991) 467-482.
15. J. McKay, Graphs, singularities, and finite groups, Proc. Sympos. Pure Math., Vol. 7, Amer. Math. Soc., Providence, RI, 1980, 183-186.
16. H. Nakajima, Moduli spaces of anti-self-dual connections on ALE gravitational instantons, Invent. Math. 102 (1990) 267-303.
17. H. Nakajima, Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras, preprint.
18. N. Shimomura, A theorem on the fixed point set of a unipotent transformation on the flag manifold, J. Math. Soc. Japan 32 (1980) 55-64.
19. N. Spaltenstein, The fixed point set of a unipotent transformation on the flag manifold, Proc. Kon. Nederl. Akad. Wetensch. 79 (1976) 452-456.
20. C.H. Taubes, Self-dual connections on non-self-dual manifolds, J. Differential Geometry 17 (1982) 139-170.
21. I. Terada, private communication.