On the topology of spaces of holomorphic maps

DOI10.1007/BF02392839zbMath0696.58014MaRDI QIDQ910778

Jens Gravesen

Publication date: 1989

Published in: Acta Mathematica (Search for Journal in Brave)

zbMATH Keywords

loop groupRiemann surfaceimbeddinggeneralized flag manifoldcomplex Grassmannianspace of continuous mapsspace of holomorphic maps

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Holomorphic mappings and correspondences (32H99) Spaces of bounded analytic functions of one complex variable (30H05) Special varieties (14M99) Embedding (54C25) Homology and cohomology theories in algebraic topology (55N99) Manifolds of mappings (58D15)

Related Items

The topology of the space of rational maps into generalized flag manifolds, Rational maps and string topology, The Atiyah-Jones Conjecture, Configuration spaces and the space of rational curves on a toric variety, Monopoles and their spectral data, Atiyah’s work on holomorphic vector bundles and gauge theories, \(E_n\)-cell attachments and a local-to-global principle for homological stability, Gelfand-Zeitlin actions and rational maps, STABILITY THEOREMS FOR SPACES OF RATIONAL CURVES, STABILITY THEOREMS FOR SPACES OF RATIONAL CURVES, Complex structures in the Nash-Moser category, The classification of monopoles for the classical groups, Yang–Mills theory and jumping curves, The based \(\text{SU}(n)\)-instanton moduli spaces

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