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Analytic structures on the space of flat vector bundles over a compact riemann surface

Part of the Lecture Notes in Mathematics book series (LNM,volume 185)

Keywords

  • Vector Bundle
  • Riemann Surface
  • Line Bundle
  • Quotient Space
  • Chern Class

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Bibliography

  1. R. C. Gunning, Lectures on Riemann surfaces, Princeton University Press, Princeton, N. J., 1966.

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  2. —, Lectures on vector bundles over Riemann surfaces, Princeton University Press, Princeton, N. J., 1967.

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  3. —, Special coordinate coverings of Riemann surfaces, Math. Ann. 170 (1967), 67–86.

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  4. M. S. Narasimhan and C. S. Seshadri, Holomorphic vector bundles on a compact Riemann surface, Math. Ann. 155 (1964), 69–89.

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  5. P. E. Newstead, Topological properties of some spaces of stable bundles, Topology 6 (1967), 241–262.

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  6. C. S. Seshadri, Space of unitary vector bundles on a compact Riemann surface, Ann. of Math. (2) 85 (1967), 303–336.

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  7. A. Weil, Généralization des fonctions abéliennes, J. Math. Pures. Appl. 17 (1938), 47–87.

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© 1971 Springer-Verlag

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Gunning, R.C. (1971). Analytic structures on the space of flat vector bundles over a compact riemann surface. In: Horváth, J. (eds) Several Complex Variables II Maryland 1970. Lecture Notes in Mathematics, vol 185. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0058763

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  • DOI: https://doi.org/10.1007/BFb0058763

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05372-9

  • Online ISBN: 978-3-540-36493-1

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