On the equivalence of integral \(T^k\)-cohomology Chern numbers and \(T^k\)-\(K\)-theoretic Chern numbers

DOI10.1007/s11401-017-1043-3zbMath1387.57047OpenAlexW2768030256MaRDI QIDQ1688147

Wei Wang

Publication date: 5 January 2018

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-017-1043-3

zbMATH Keywords

equivariant Chern numbers

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Equivariant cobordism (57R85)

Cites Work

• Unnamed Item
• Analytic cycles on complex manifolds
• Equivariant cohomology Chern numbers determine equivariant unitary bordism for torus groups
• Characteristic numbers of G-manifolds. II
• Topological methods in algebraic geometry. Translation from the German and appendix one by R. L. E. Schwarzenberger. Appendix two by A. Borel.
• Geometric versus homotopy theoretic equivariant bordism
• Integral characteristic numbers for weakly almost complex manifolds
• The relation of cobordism to K-theories
• Equivariant K-theory
• Quelques propriétés globales des variétés différentiables
• On the Cobordism Ring Ω ∗ and a Complex Analogue, Part I
• Riemann-Roch theorems for differentiable manifolds

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