References
[CCMM] Cohen, F.R., Cohen, R.L., Mann, B.M., Milgram, R.J.: The topology of rational functions and divisors of surfaces. Acta Math.166, 163–221 (1991)
[CLM] Cohen, F.R., Lada, T.J., May, J.P.: The homology of iterated loop spaces. (Lect. Notes Math., vol. 533) New York Berlin Heidelberg: Springer 1976
[CS] Cohen, R.L., Shimamoto, D.H.: Rational functions, labelled configurations, and Hilbert schemes. J. London Math. Soc.43, 509–528 (1991)
[DL] Dyer, E., Lashof, R.K.: Homology of iterated loop spaces. Am. J. Math.84, 35–88 (1962)
[G] Guest, M.A.: Topology of the space of absolute minima of the energy functional. Am. J. of Math.106, 21–42 (1984)
[K] Kirwan, F.C.: On spaces of maps from Riemann surfaces to Grassmannians and applications to the cohomology of moduli of vector bundles. Ark. Mat.24, 221–275 (1986)
[MaM1] Mann, B.M., Milgram, R.J.: Some spaces of holomorphic maps to complex Grassmann manifolds. J. Differ. Geom.33, 301–324 (1991)
[MaM2] Mann, B.M., Milgram, R.J.: On the moduli of SU(n) monopoles and holomorphic maps to flag manifolds. Preprint, University of New Mexico and Stanford University 1991
[May] May, J.P.: The geometry of iterated loop spaces. (Lect. Notes Math., vol. 271) New York Berlin Heidelberg: Springer 1972
[M1] Milgram, R.J.: Interated loop spaces. Ann. of Math.84, 386–403 (1966)
[M2] Milgram, R.J.: The structure of spaces of Toeplitz matrices. Preprint, Stanford University and the University of New Mexico 1992
[MiS] Milnor, J.W., Stasheff, J.D.: Characteristic classes. (Ann. of Math. Studies, no. 76) Princeton University Press 1974
[S] segal, G.: The topology of spaces of rational functions. Acta Math.143, 39–72 (1979)
[T] Totaro, B.: The coholomogy ring of the space of rational functions. Preprint, MSRI 1990
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Havlicek, J.W. The cohomology of homorphic self maps of the riemann sphere. Math Z 218, 179–190 (1995). https://doi.org/10.1007/BF02571896
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DOI: https://doi.org/10.1007/BF02571896