On the Equivalence of Integral Tk-Cohomology Chern Numbers and Tk-K-Theoretic Chern Numbers  

作　　者：Wei WANG 

机构地区：[1]College of Information Technology,Shanghai Ocean University,Shanghai 201306,China.

出　　处：《Chinese Annals of Mathematics,Series B》2017年第6期1353-1364,共12页数学年刊（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China(No.11301335)

摘　　要：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 AtiyahHirzebruch type, it is proved that the vanishing of equivariant cohomology Chern numbers is equivalent to the vanishing of equivariant K-theoretic Chern numbers.

关 键 词：Equivariant K-theoretic Chern number Equivariant cohomology Chernnumber Equivariant bordism 

分 类 号：O189[理学—数学]