Heisenberg algebra and Hilbert schemes of points on projective surfaces

Annals of Mathematics

Volumn 145, Issue 2, 1997, Pages 379-388

  Nakajima, Hiraku ^a  

^a UNIVERSITY OF TOKYO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031505459     PISSN: 0003486X     EISSN: None     Source Type: Journal    
DOI: 10.2307/2951818     Document Type: Article

References (22)

1. A. BEAUVILLE, Variété kählriennes dont la première classe de Chern est nulle, J. Diff. Geom. 18 (1983), 755-782.
2. nℂ{x,y}, Invent. Math. 41 (1977), 45-89.
3. N. CHRISS and V. GINZBURG, "Representation theory and complex geometry (Geometric techniques in representation theory of reductive groups)", Progress in Math. Birkhäuser, (to appear).
4. G. ELLINGSRUD and S. A. STRØMME, On the homology of the Hilbert scheme of points in the plane, Invent. Math. 87 (1987), 343-352.
5. _, An intersection number for the punctual Hilbert scheme of a surface, preprint.
6. J. FOGARTY, Algebraic families on an algebraic surface, Amer. J. Math. 90 (1968), 511-521.
7. I. B. FRENKEL, Spinor representations of affine Lie algebras, Proc. Natl. Acad. Sci. USA 77 (1980), 6303-6306.
8. n), C. R. Acad. Sci. Paris Sér I Math. 312 (1991), 907-912.
9. V. GINZBURG, M. KAPRANOV, and E. VASSEROT, Langlands reciprocity for algebraic surfaces, Math. Res. Letters 2 (1995), 147-160.
10. L. Göttsche, The Betti numbers of the Hilbert scheme of points on a smooth projective surface, Math. Ann. 286 (1990), 193-207.
11. _, Hilbert Schemes of Zero-Dimensional Subschemes of Smooth Varieties, Lecture Notes in Math. 1572, Springer-Verlag, New York, 1994.
12. L. GÖTTSCHE and D. HUYBRECHTS, Hodge numbers of moduli spaces of stable bundles on K3 surfaces, preprint.
13. I. GROJNOWSKI, Instantons and affine algebras I: the Hilbert scheme and vertex operators, Math. Res. Letters 3 (1996), 275-291.
14. A. IARROBINO, Punctual Hilbert schemes, Mem. Amer. Math. Soc. 188, 1977.
15. V. G. KAC, Infinite dimensional Lie algebras (3rd Ed.), Cambridge Univ. Press, 1990.
16. P. B. KRONHEIMER and H. NAKAJIMA, Yang-Mills instantons on ALE gravitational instantons, Math. Ann. 288 (1990), 263-307.
17. H. NAKAJIMA, Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras, Duke Math. 76 (1994), 365-416.
18. _, Homology of moduli spaces of moduli spaces of instantons on ALE spaces I, J. Diff. Geom. 40 (1994), 105-127.
19. 4, in Topology, Geometry and Field Theory, World Scientific, 1994, 129-136.
20. _, Gauge theory on resolution of simple singularities and simple Lie algebras, Inter. Math. Res. Notices (1994), 61-74.
21. _, Quiver varieties and Kac-Moody algebras, preprint.
22. C. VAFA and E. WITTEN, A strong coupling test of S-duality, Nucl. Phys. 431 (1994), 3-77.