Geodesic
The cohomology rings of moduli spaces of bundles over Riemann surfaces
Journal of the American Mathematical Society, Tome 05 (1992) no. 4, pp. 853-906

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Kirwan, Frances. The cohomology rings of moduli spaces of bundles over Riemann surfaces. Journal of the American Mathematical Society, Tome 05 (1992) no. 4, pp. 853-906. doi: 10.1090/S0894-0347-1992-1145826-8
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[1] Atiyah, M. F. Convexity and commuting Hamiltonians Bull. London Math. Soc. 1982 1 15

[2] Atiyah, M. F., Bott, R. The Yang-Mills equations over Riemann surfaces Philos. Trans. Roy. Soc. London Ser. A 1983 523 615

[3] Bott, Raoul Nondegenerate critical manifolds Ann. of Math. (2) 1954 248 261

[4] Gieseker, D. A degeneration of the moduli space of stable bundles J. Differential Geom. 1984 173 206

[5] Harder, G., Narasimhan, M. S. On the cohomology groups of moduli spaces of vector bundles on curves Math. Ann. 1974/75 215 248

[6] Hartshorne, Robin Algebraic geometry 1977

[7] Hironaka, Heisuke Idealistic exponents of singularity 1977 52 125

[8] Kirwan, Frances Clare Partial desingularisations of quotients of nonsingular varieties and their Betti numbers Ann. of Math. (2) 1985 41 85

[9] Kirwan, Frances Rational intersection cohomology of quotient varieties Invent. Math. 1986 471 505

[10] Kirwan, Frances On spaces of maps from Riemann surfaces to Grassmannians and applications to the cohomology of moduli of vector bundles Ark. Mat. 1986 221 275

[11] Kirwan, Frances On the homology of compactifications of moduli spaces of vector bundles over a Riemann surface Proc. London Math. Soc. (3) 1986 237 266

[12] Milnor, John W., Stasheff, James D. Characteristic classes 1974

[13] Mumford, David, Fogarty, John Geometric invariant theory 1982

[14] Neeman, Amnon The topology of quotient varieties Ann. of Math. (2) 1985 419 459

[15] Newstead, P. E. Characteristic classes of stable bundles of rank 2 over an algebraic curve Trans. Amer. Math. Soc. 1972 337 345

[16] Shatz, Stephen S. The decomposition and specialization of algebraic families of vector bundles Compositio Math. 1977 163 187

[17] Sundararaman, D. Moduli, deformations and classifications of compact complex manifolds 1980

[18] Thaddeus, Michael Conformal field theory and the cohomology of the moduli space of stable bundles J. Differential Geom. 1992 131 149

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