Infinite dimensional cycles associated to operators

DOI10.1017/S0027763000004074zbMath0784.46053MaRDI QIDQ4025578

Hiroshi Morimoto

Publication date: 18 February 1993

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

vector bundlescohomology classChern classesFredholm operatorsindexcycles derived from Dirac operators

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) (Semi-) Fredholm operators; index theories (47A53)

Cites Work

• Positive scalar curvature and the Dirac operator on complete Riemannian manifolds
• On the generic existence of holomophic sections and complex analytic bordism
• Construction of instantons
• Topological aspects of Yang-Mills theory
• The homotopy type of the unitary group of Hilbert space
• Singularities of differentiable maps
• Le calcul des classes duales aux singularites de Boardman d'ordre deux
• Realization of Chern classes by subvarieties with certain singularities
• On certain complex analytic cobordism between subvarieties realizing Chern classes of bundles

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