Integrable systems associated to a Hopf surface

Canadian Journal of Mathematics

Volumn 55, Issue 3, 2003, Pages 609-635

  Moraru, Ruxandra ^a  

^a MCGILL UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037790984     PISSN: 0008414X     EISSN: None     Source Type: Journal    
DOI: 10.4153/CJM-2003-025-3     Document Type: Article

References (20)

1. [At] M. F. Atiyah, Vector bundles over an elliptic curve. Proc. London Math. Soc. (3) 7(1957), 414-452.
2. n. Math. Ann. 226(1977), 125-150.
3. [Be] A. Beauville, Systèmes hamiltoniens complètement intégrables associés aux surfaces K3. Sympos. Math. 32(1992), 25-31.
4. [BH] P. J. Braam and J. Hurtubise, Instantons on Hopf surfaces and monopoles on solid tori. J. Reine Angew. Math. 400(1989), 146-172.
5. [BHMM] C. Boyer, J. Hurtubise, B. M. Mann and R. J. Milgram, The topology of instanton moduli spaces, I: The Atiyah-Jones conjecture. Ann. of Math. (2) 137(1993), 561-609.
6. [Bo1] F. Bottacin, Poisson structures on moduli spaces of sheaves over Poisson surfaces. Invent. Math. 121(1995), 421-436.
7. [Bo2] _, Symplectic geometry on moduli spaces of stable pairs. Ann. Sci. École Norm. Sup. (4) 28(1995), 391-433.
8. [Bh] N. P. Buchdahl, Hermitian-Einstein connections and stable vector bundles over compact complex surfaces. Math. Ann. 280(1978), 625-648.
9. [F] R. Friedman, Algebraic Surfaces and Holomorphic Vector Bundles. Universitext, Springer, New York Berlin Heidelberg, 1998.
10. [FMW] R. Friedman, J. Morgan and E. Witten, Vector bundles over elliptic fibrations. J. Algebraic Geom. 2(1999), 279-401.
11. [G] P. Gauduchon, Le théorème de l'excentricité nulle. C. R. Acad. Sci. Paris 285(1977), 387-390.
12. [H] J. Hurtubise, Instantons and jumping lines. Comm. Math. Phys. 105(1986), 107-122.
13. [Ha] R. Hartshorne, Algebraic Geometry. Graduate Texts in Math. 52, Springer-Verlag, Berlin-Heidelberg-New York, 1977.
14. [Hi] N. Hitchin, Stable bundles and integrable systems. Duke Math. J. 54(1987), 91-114.
15. [Ma] M. Maruyama, Elementary transformations in the theory of algebraic vector bundles. In: Algebraic Geometry (La Rábida, 1981), Lecture Notes in Math. 961, Springer-Verlag, 1982, 241-266.
16. [Mar] E. Markman, Spectral curves and integrable systems. Compositio Math. 93(1994), 255-290.
17. [Mo] R. Moraru, Moduli spaces of vector bundles over a Hopf surface, and their stability properties. PhD thesis, McGill University, 2000.
18. [Mu] S. Mukai, Symplectic structure of the moduli space of sheaves on an abelian or K3 surface. Invent. Math. 77(1984), 101-116.
19. [T] A. Teieman, Moduli spaces of stable bundles on non-Kählerian elliptic fibre bundles over curves. Expo. Math. 16(1998), 193-248.
20. [We] A. Weinstein, The local structure of Poisson manifolds. J. Differential Geom. 18(1983), 523-557.