Instantons and affine Lie algebras

Nuclear Physics B - Proceedings Supplements

Volumn 46, Issue 1-3, 1996, Pages 154-161

  Nakajima, Hiraku ^a  

^a UNIVERSITY OF TOKYO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 16144366696     PISSN: 09205632     EISSN: None     Source Type: Journal    
DOI: 10.1016/0920-5632(96)00017-5     Document Type: Article

References (23)

1. 1. S. Cordes, G. Moore, and S. Ramgoolam, Lectures on 2D Yang-Mills theory, equivariant cohomology and topological field theories, hep-th/9411210.
2. 2. S. Gelbart, An elementary introduction of the Langlands program, Bull. of the AMS, 10 (1984), 177-219.
3. 3. V. Ginzburg, M. Kapranov, and E. Vasserot, Langlands reciprocity for algebraic surfaces, Int. Math. Res. Notes 2 (1995), 147-160.
4. 4. L. Göttsche, The Betti numbers of the Hilbert scheme of points on a smooth projective surface, Math. Ann. 286 (1990), 193-207.
5. 5. L. Göttsche and D. Huybrechts, Hodge numbers of moduli spaces of stable bundles on K3 surfaces, alg-geom/9408001, preprint.
6. 6. I. Grojnowski, Instantons and affine algebras I: the Hilbert scheme and vertex operators, alg-geom/9506020, preprint.
7. 7. F. Hirzebruch and T. Höfer, On the Euler number of an orbifold, Math. Ann. 286 (1990), 255-260.
8. 8. V.G. Kac, Infinite dimensional Lie algebras (3rd Ed.), Cambridge Univ. Press 1990.
9. 9. P.B. Kronheimer and T. Mrowka, Embedded surfaces and the structure of Donaldson's polynomial invariants, J. Diff. Geom. (1995), 573-734.
10. 10. P.B. Kronheimer and H. Nakajima, Yang-Mills instantons on ALE gravitational instantons, Math. Ann. 288 (1990), 263-307.
11. 11. G. Lusztig, Canonical bases arising from quantized enveloping algebras, J. Amer. Math. Soc. 3 (1990), 447-498.
12. 12. _, Quivers, perverse sheaves, and quantized enveloping algebras, J. Amer. Math. Soc. 4 (1991), 365-421.
13. 13. M. Maruyama and K. Yokogawa, Moduli of parabolic stable sheaves, Math. Ann. 293 (1992), 77-99.
14. 14. H. Nakajima, Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras, Duke Math. 76 (1994), 365-416.
15. 15. _, Gauge theory on resolution of simple singularities and simple Lie algebras, Inter. Math. Res. Notices (1994), 61 -74.
16. 16. _, Quiver varieties and Kac-Moody algebras, preprint.
17. 17. _, Heisenberg algebra and Hilbert schemes of points of protective surfaces, alg-geom/9507012, preprint.
18. 18. M.S. Narasimhan and S. Ramanan, Deformation of the moduli space of vector bundles over an algebraic curve, Ann. of Math. 101 (1975), 391-417.
19. 19. C.M. Ringel Hall algebras and quantum groups, Invent. Math. 101 (1990), 583-592.
20. 20. C. Vafa and E. Witten, A strong coupling test of S-duality, Nucl. Phys. 431 (1994), 3-77.
21. 21. E. Witten, Supersymmetric Yang-Mills theory on a four-manifold, J. Math. Phys. 35 (1994), 5101-5135.
22. 22. _ Monopoles and four-manifolds, Int. Math. Res. Notes 1 (1995), 769-796.
23. 23. K. Yoshioka, The Betti numbers of the moduli spaces of stable sheaves of rank 2 on ℙ2, J. reine angew. Math. 453 (1994), 193-220.