Group actions on spaces of rational functions

DOI10.2977/prims/1145476152zbMath1026.55011OpenAlexW2008457588MaRDI QIDQ1873653

Kohhei Yamaguchi, Yohei Ono

Publication date: 6 December 2003

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1145476152

zbMATH Keywords

holomorphic mapshomotopy typeuniversal coverspaces of rational functions

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Classification of homotopy type (55P15) Loop spaces (55P35) Homotopy groups of special spaces (55Q52)

Related Items (5)

Spaces of holomorphic maps between complex projective spaces of degree one. ⋮ Zeta function of representations of compact 𝑝-adic analytic groups ⋮ Holomorphic flexibility properties of the space of cubic rational maps ⋮ Uniform properties of rigid subanalytic sets ⋮ Analytic $p$-adic cell decomposition and integrals

Cites Work

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• Instantons and jumping lines
• Nahm's equations and the classification of monopoles
• The topology of spaces of rational functions
• The double suspension and exponents of the homotopy groups of spheres
• The topology of rational functions and divisors of surfaces
• Fundamental groups of spaces of coprime polynomials
• Stable splitting of the space of polynomials with roots of bounded multiplicity
• The topology of the space of rational curves on a toric variety. - Appendix 1: \(\pi_ 0 Q^ X_ D\) and \(\pi_ 1Q^ X_ D\). -Appendix 2: Representation of holomorphic maps by polynomials
• The topology of spaces of coprime polynomials
• The cohomology of holomorphic self maps of the Riemann sphere
• The structure of spaces of Toeplitz matrices
• Connective coverings of spaces of holomorphic maps
• Complements of resultants and homotopy types
• Topology of complements of discriminants and resultants
• The topology of instanton moduli spaces. I: The Atiyah-Jones conjecture
• The homotopy type of the space of rational functions
• Spaces of rational loops on a real projective space
• Spaces of Holomorphic Maps with Bounded Multiplicity
• UNIVERSAL COVERINGS OF SPACES OF HOLOMORPHIC MAPS

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