Singularities and Chern-Weil theory. II: Geometric atomicity

DOI10.1215/S0012-7094-03-11914-6zbMath1049.32030MaRDI QIDQ1409335

H. Blaine jun. Lawson, F. Reese Harvey

Publication date: 13 October 2003

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

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Characteristic classes and numbers in differential topology (57R20) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Singularities of differentiable mappings in differential topology (57R45) Global theory of complex singularities; cohomological properties (32S20) Other connections (53B15)

Cites Work

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• Characteristic classes for algebraic vector bundles with Hermitian metric. II
• Characteristic classes for algebraic vector bundles with Hermitian metric. I
• Fundamental solutions in complex analysis. I. The Cauchy Riemann operator
• Zero divisors of atomic functions
• On boundaries of complex analytic varieties. I
• Stiefel-Whitney currents.
• Characteristic forms and geometric invariants
• Hermitian vector bundles and the equidistribution of the zeroes of their holomorphic section
• The de Rham-Federer theory of differential characters and character duality
• Geometric Residue Theorems
• Chern currents of singular connections associated with a section of a compactified bundle
• Existence of Universal Connections
• Singularities and Chern-Weil theory. I: The local MacPherson formula
• Finite volume flows and Morse theory