Degeneracy indices and Chern classes

DOI10.1016/S0001-8708(82)80013-3zbMath0517.57009MaRDI QIDQ1053309

Kuo-Tsai Chen

Publication date: 1982

Published in: Advances in Mathematics (Search for Journal in Brave)

zbMATH Keywords

Bezout theoremtransversality conditionsPontryagin classesholomorphic sectionscomplex GrassmannianHopf index theoremcomplex k-plane bundle over a compact oriented manifolddegeneracy setGauss Bonnet theoremPoincare dual of Chern classes

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Characteristic classes and numbers in differential topology (57R20) Integration on manifolds; measures on manifolds (58C35) Differential forms in global analysis (58A10) Exterior differential systems (Cartan theory) (58A15) Holomorphic bundles and generalizations (32L05) Homology of classifying spaces and characteristic classes in algebraic topology (55R40)

Cites Work

• Analytic cycles and vector bundles on non-compact algebraic varieties
• On the Hopf index theorem and the Hopf invariant
• On the Covering of Analytic Loci by Complexes
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