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| On the Equivalence of Integral T^k-Cohomology Chern Numbers and T^k-K-Theoretic Chern Numbers |
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Citation： |
Wei WANG.On the Equivalence of Integral T^k-Cohomology Chern Numbers and T^k-K-Theoretic Chern Numbers[J].Chinese Annals of Mathematics B,2017,38(6):1353~1364 |
| Page view： 1050
Net amount： 1252 |
Authors： |
Wei WANG; |
Foundation： |
This work was supported by the National Natural Science
Foundation of China (No.11301335). |
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| Abstract： |
This paper mainly deals with the question of equivalence between
equivariant cohomology Chern numbers and equivariant $K$-theoretic
Chern numbers when the transformation group is a torus. By using the
equivariant Riemann-Roch relation of Atiyah-Hirzebruch type, it is
proved that the vanishing of equivariant cohomology Chern numbers
is equivalent to the vanishing of equivariant $K$-theoretic Chern
numbers. |
Keywords： |
Equivariant K-theoretic Chern number, Equivariant cohomology Chern
number, Equivariant bordism |
Classification： |
57R85, 57R20, 55N22, 57R91 |
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