Abstract
In this paper, we study the moduli spaces of stable rank-2 vector bundles on non-Kähler elliptic surfaces, thus giving a classification of these bundles; in the case of Hopf and Kodaira surfaces, these moduli spaces admit the structure of an algebraically completely integrable Hamiltonian system.
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Communicated by M.R. Douglas
The first author was partially supported by Swiss NSF contract SCOPES 2000-2003, No.7 IP 62615 and by contract CERES 39/2002–2004.
Acknowledgement The first author would like to express his gratitude to the Max Planck Institute of Mathematics for its hospitality and stimulating atmosphere; part of this paper was prepared during his stay at the Institute. The second author would like to thank Jacques Hurtubise for his generous encouragement and support during the completion of this paper; she would also like to thank Ron Donagi and Tony Pantev for valuable discussions, and the Department of Mathematics at the University of Pennsylvania for their hospitality, during the preparation of part of this article.
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Brînzănescu, V., Moraru, R. Stable Bundles on Non-Kähler Elliptic Surfaces. Commun. Math. Phys. 254, 565–580 (2005). https://doi.org/10.1007/s00220-004-1269-2
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DOI: https://doi.org/10.1007/s00220-004-1269-2