Abstract
Let X be a smooth projective curve of genus g, defined over the field of complex numbers. Let M 0 be the moduli space of semi-stable vector bundles V of rank two and trivial determinant (cf. [8]).
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References
M. F. Atiyah and R. Bott, The Yang-Mills equations on a Riemann surface, Phil. Trans. R. Soc. Lond. 308 (1982), 523–621.
V. Balaji, Cohomology of certain moduli spaces of vector bundles, to appear in Proc. Indian Acad. Sci. (Math. Sci.).
G. Harder and M. S. Narasimhan, On the cohomology groups of moduli spaces of vector bundles over curves, Math. Annlan 212 (1975), 215–248.
F. Kirwan, On the homology of the compactifications of moduli spaces of vector bundles over a Riemann surface, Proc. Lond. Math. Soc. 53 (1986), 237–267.
M. S. Narasimhan and S. Ramanan, Moduli of vector bundles on a compact Riemann surface, Ann. of Math. 89 (1969), 14–51.
M. S. Narasimhan and S. Ramanan, Geometry of Hecke Cycles — I, C. P. Ramanujam, A Tribute, T. I. F. R. Bombay, 1978.
C. S. Seshadri, Desingularisation of moduli varieties of vector bundles on curves, Int. Symp. on Algebraic Geometry, Kyoto, 1977, 155–184.
C. S. Seshadri, Fibrés vectorials sur les courbes algébriques, Astérisque 96 (1982).
E. H. Spanier, Algebraic Topology, Springer Verlag, 1987.
E. H. Spanier, The homology of Kummer manifolds, Proc. Amer. Math. Soc. 7 (1956), 155–160.
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Dedicated to A. Grothendieck on his 60th birthday
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Balaji, V., Seshadri, C.S. (2007). Cohomology of a Moduli Space of Vector Bundles. In: Cartier, P., Illusie, L., Katz, N.M., Laumon, G., Manin, Y.I., Ribet, K.A. (eds) The Grothendieck Festschrift. Progress in Mathematics. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-4574-8_4
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DOI: https://doi.org/10.1007/978-0-8176-4574-8_4
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