Skip to main content
Log in

The cohomology of homorphic self maps of the riemann sphere

Mathematische Zeitschrift Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

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)

    Article  MathSciNet  Google Scholar 

  • [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

    MATH  Google Scholar 

  • [CS] Cohen, R.L., Shimamoto, D.H.: Rational functions, labelled configurations, and Hilbert schemes. J. London Math. Soc.43, 509–528 (1991)

    Article  MATH  MathSciNet  Google Scholar 

  • [DL] Dyer, E., Lashof, R.K.: Homology of iterated loop spaces. Am. J. Math.84, 35–88 (1962)

    Article  MATH  MathSciNet  Google Scholar 

  • [G] Guest, M.A.: Topology of the space of absolute minima of the energy functional. Am. J. of Math.106, 21–42 (1984)

    Article  MATH  MathSciNet  Google Scholar 

  • [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)

    Article  MATH  MathSciNet  Google Scholar 

  • [MaM1] Mann, B.M., Milgram, R.J.: Some spaces of holomorphic maps to complex Grassmann manifolds. J. Differ. Geom.33, 301–324 (1991)

    MATH  MathSciNet  Google Scholar 

  • [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

    MATH  Google Scholar 

  • [M1] Milgram, R.J.: Interated loop spaces. Ann. of Math.84, 386–403 (1966)

    Article  MathSciNet  Google Scholar 

  • [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)

    Article  MATH  MathSciNet  Google Scholar 

  • [T] Totaro, B.: The coholomogy ring of the space of rational functions. Preprint, MSRI 1990

Download references

Author information

Authors and Affiliations

Authors

Additional information

This article was processed by the author using the Springer-Verlag TEX QPMZGHB macro package

Rights and permissions

Reprints and permissions

About this article

Cite this article

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

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02571896

Keywords

Navigation