Analytic cycles on complex manifolds

1962/01/01 by Michael Atiyah, M.F. Atiyah, Friedrich Hirzebruch +1 · 10 citations
Mathematics · #Advanced Topics in Algebra #Algebra over a field #Algebraic Geometry and Number Theory #Algebraic number #Analytic function #Class (philosophy) #Cohomology #Complex manifold #De Rham cohomology #Equivariant cohomology #Holomorphic function #Homology (biology) #Homotopy and Cohomology in Algebraic Topology #Mathematical analysis #Mathematics #Mayer–Vietoris sequence #Motivic cohomology #Pure mathematics #Torsion (gastropod)

paper · doi:10.1016/0040-9383(62)90094-0

crossref issued 1962/01/01 · crossref published 1962/01/01 · crossref published-print 1962/01/01 · openalex publication_date 1962/01/01 · crossref created 2003/05/13 · crossref deposited 2019/03/21 · openalex created_date 2025/10/10 · crossref indexed 2026/06/04 · openalex updated_date 2026/06/11

Citations

• Quelques propriétés globales des variétés différentiables
• Faisceaux Algebriques Coherents
• Le théorème de Riemann-Roch
• On Levi's Problem and the Imbedding of Real-Analytic Manifolds
• Variétés analytiques réelles et variétés analytiques complexes
• Vector bundles and homogeneous spaces
• On Spaces Having the Homotopy Type of a CW-Complex

Cited by

• Murphy's law in non-abelian Hodge theory
• ÉTALE MOTIVIC COHOMOLOGY AND ALGEBRAIC CYCLES
• Riemann-Roch for singular varieties
• Torsion algebraic cycles and complex cobordism
• Hodge's general conjecture is false for trivial reasons
• Clifford modules
• Examples of non-algebraic classes in the Brown–Peterson tower
• Automorphisms and autoequivalences of generic analytic K3 surfaces
• On the integral Hodge conjecture for real abelian threefolds
• Hodge conjecture [wikipedia]