The cohomology of holomorphic self maps of the Riemann sphere

DOI10.1007/BF02571896zbMath0814.55003OpenAlexW2312709480MaRDI QIDQ1346342

John W. Havlicek

Publication date: 18 June 1995

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174721

zbMATH Keywords

cohomology groupsLeray-Serre spectral sequencecohomology algebraspace of degree \(k\) holomorphic self maps of the Riemann sphere

Mathematics Subject Classification ID

Homology and cohomology theories in algebraic topology (55N99) Manifolds of mappings (58D15) Spectral sequences and homology of fiber spaces in algebraic topology (55R20)

Related Items (4)

Group actions on spaces of rational functions ⋮ Rational maps and string topology ⋮ Holomorphic flexibility properties of the space of cubic rational maps ⋮ Topological aspects of the dynamical moduli space of rational maps

Cites Work

• On spaces of maps from Riemann surfaces to Grassmannians and applications to the cohomology of moduli of vector bundles
• The topology of spaces of rational functions
• The topology of rational functions and divisors of surfaces
• Some spaces of holomorphic maps to complex Grassmann manifolds
• The homology of iterated loop spaces
• Iterated loop spaces
• The geometry of iterated loop spaces
• Topology of the Space of Absolute Minima of the Energy Functional
• Rational Functions, Labelled Configurations, and Hilbert Schemes
• Characteristic Classes. (AM-76)
• Homology of Iterated Loop Spaces

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