Group Actions on Spaces of Rational Functions

  • Yohei Ono

    University of Electro-Communications, Tokyo, Japan
  • Kohhei Yamaguchi

    University of Electro-Communications, Tokyo, Japan

Abstract

Let be the space consisting of all holomorphic maps of degree . The group acts on freely by the post-composition and we shall study the orbit space . As an application, we shall determine the homotopy types of the universal covering spaces of and explicitly.

Cite this article

Yohei Ono, Kohhei Yamaguchi, Group Actions on Spaces of Rational Functions. Publ. Res. Inst. Math. Sci. 39 (2003), no. 1, pp. 173–181

DOI 10.2977/PRIMS/1145476152