On the complete integrability of the discrete Nahm equations

Communications in Mathematical Physics

Volumn 210, Issue 2, 2000, Pages 497-519

  Murray, Michael K ^a   Singer, Michael A ^b  

^a UNIVERSITY OF ADELAIDE   (Australia)

^b UNIVERSITY OF EDINBURGH   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034147769     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050789     Document Type: Article

References (12)

1. 1. Aliyah, M.F., Hitchin, N.J., Drinfeld, V. G. and Manin, Yu. I.: Construction of instantons, Phys. Lett. A 65, no. 3, 185-187 (1978)
2. 2. Atiyah, M.F.: Magnetic Monopoles in hyperbolic spaces. In: Proceedings of Bombay Colloquium 1984 on vector bundles in algebraic varieties, Oxford: Oxford University Press 1987, pp. 1-34
3. 3. Braam, P.J.and Austin, D.M.: Boundary values of hyperbolic monopoles, Nonlinearity 3, no. 3, 809-823 (1990)
4. 4. Buchdahl, N.P.: Stable 2-bundles on Hirzebruch surfaces. Math. Z. 194, 143-152 (1987)
5. 5. Donaldson, S.K.: Nahm's equations and the classification of monopoles. Commun. Math. Phys. 96, 387-407 (1984)
6. 6. Ercolani, N. and Sinha, A.: Monopoles and Baker functions. Commun. Math. Phys. 125, 385-416 (1989)
7. 7. Hitchin, N.J. and Murray, M.K.: Spectral curves and the ADHM method. Commun. Math. Phys. 114, 463-474 (1988)
8. 8. Hitchin, N.J.: On the construction of monopoles. Comm. Math. Phys. 89, no. 2, 145-190 (1983)
9. 9. Hitchin, N.J.: Integrable systems in Riemannian geometry. Preprint
10. 10. Moser J. and Veselov, A.P.: Discrete versions of some classical integrable systems and factorization of matrix polynomials. Commun. Math. Phys. 139, 217-243 (1991)
11. 11. Murray, M.K. and Singer, M.A.: Spectral curves of non-integral hyperbolic monopoles. Nonlinearity 9, 973-997 (1996)
12. 12. Ward R.S.: Two Integrable Systems Related to Hyperbolic Monopoles. To appear in Asian J. Math., Special 70th Birthday Issue for Sir Michael Atiyah. solv-int/9811012