Duke Mathematical Journal

Stable bundles and integrable systems

Nigel Hitchin

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Article information

Source
Duke Math. J., Volume 54, Number 1 (1987), 91-114.

Dates
First available in Project Euclid: 20 February 2004

Permanent link to this document
https://projecteuclid.org/euclid.dmj/1077305506

Digital Object Identifier
doi:10.1215/S0012-7094-87-05408-1

Mathematical Reviews number (MathSciNet)
MR885778

Zentralblatt MATH identifier
0627.14024

Subjects
Primary: 58F07
Secondary: 14F05: Sheaves, derived categories of sheaves and related constructions [See also 14H60, 14J60, 18F20, 32Lxx, 46M20] 32G13: Analytic moduli problems {For algebraic moduli problems, see 14D20, 14D22, 14H10, 14J10} [See also 14H15, 14J15] 32L05: Holomorphic bundles and generalizations 32L10: Sheaves and cohomology of sections of holomorphic vector bundles, general results [See also 14F05, 18F20, 55N30]

Citation

Hitchin, Nigel. Stable bundles and integrable systems. Duke Math. J. 54 (1987), no. 1, 91--114. doi:10.1215/S0012-7094-87-05408-1. https://projecteuclid.org/euclid.dmj/1077305506


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References

  • [1] M. F. Atiyah and R. Bott, A Lefschetz fixed point formula for elliptic complexes. II. Applications, Ann. of Math. (2) 88 (1968), 451–491.
    Mathematical Reviews (MathSciNet): MR38:731
    Zentralblatt MATH: 0167.21703
    Digital Object Identifier: doi:10.2307/1970721
    JSTOR: links.jstor.org
  • [2] M. F. Atiyah and R. Bott, The Yang-Mills equations over Riemann surfaces, Philos. Trans. Roy. Soc. London Ser. A 308 (1983), no. 1505, 523–615.
    Mathematical Reviews (MathSciNet): MR85k:14006
    Zentralblatt MATH: 0509.14014
    Digital Object Identifier: doi:10.1098/rsta.1983.0017
    JSTOR: links.jstor.org
  • [3] C. Chevalley, The Betti numbers of the exceptional simple Lie groups, Proceedings of the International Congress of Mathematicians, Cambridge, Mass., 1950, vol. 2, Amer. Math. Soc., Providence, R. I., 1952, pp. 21–24.
    Mathematical Reviews (MathSciNet): MR13,432d
    Zentralblatt MATH: 0049.15704
  • [4] N. J. Hitchin, Monopoles and geodesics, Comm. Math. Phys. 83 (1982), no. 4, 579–602.
    Mathematical Reviews (MathSciNet): MR84i:53071
    Zentralblatt MATH: 0502.58017
    Digital Object Identifier: doi:10.1007/BF01208717
    Project Euclid: euclid.cmp/1103920970
  • [5] N. J. Hitchin, The self-duality equations on a Riemann surface, to appear.
    Mathematical Reviews (MathSciNet): MR887284
    Zentralblatt MATH: 0634.53045
    Digital Object Identifier: doi:10.1112/plms/s3-55.1.59
  • [6] B. Kostant, The principal three-dimensional subgroup and the Betti numbers of a complex simple Lie group, Amer. J. Math. 81 (1959), 973–1032.
    Mathematical Reviews (MathSciNet): MR22:5693
    Zentralblatt MATH: 0099.25603
    Digital Object Identifier: doi:10.2307/2372999
    JSTOR: links.jstor.org
  • [7] M. S. Narasimhan and S. Ramanan, Deformations of the moduli space of vector bundles over an algebraic curve, Ann. Math. (2) 101 (1975), 391–417.
    Mathematical Reviews (MathSciNet): MR52:5669
    Zentralblatt MATH: 0314.14004
    Digital Object Identifier: doi:10.2307/1970933
  • [8] P. E. Newstead, Stable bundles of rank $2$ and odd degree over a curve of genus $2$, Topology 7 (1968), 205–215.
    Mathematical Reviews (MathSciNet): MR38:5782
    Zentralblatt MATH: 0174.52901
    Digital Object Identifier: doi:10.1016/0040-9383(68)90001-3
  • [9] S. Ramanan, The moduli spaces of vector bundles over an algebraic curve, Math. Ann. 200 (1973), 69–84.
    Mathematical Reviews (MathSciNet): MR48:3962
    Zentralblatt MATH: 0239.14013
    Digital Object Identifier: doi:10.1007/BF01578292
  • [10] G. Scheja, Riemannsche Hebbarkeitssätze für Cohomologieklassen, Math. Ann. 144 (1961), 345–360.
    Mathematical Reviews (MathSciNet): MR26:6437
    Zentralblatt MATH: 0112.38001
    Digital Object Identifier: doi:10.1007/BF01470506

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