SUB-SIGNATURE OPERATORS,η-INVARIANTS AND A RIEMANN-ROCH THEOREM FOR FLAT VECTOR BUNDLES  

作　　者：ZHANGWEIPING 

机构地区：[1]NankaiInstituteofMathematics,NankaiUniversity,Tianjin300071,China

出　　处：《Chinese Annals of Mathematics,Series B》2004年第1期7-36,共30页数学年刊（B辑英文版）

基　　金：Project supported by the National Natural Science Foundation of China; the Cheung-Kong Scholarship of the Ministry of Education of China; the Qiu Shi Foundation and the 973 Project of the Ministry of Science and Technology of China.

摘　　要：The author presents an extension of the Atiyah-Patodi-Singer invariant for unitary representations [2,3] to the non-unitary case, as well as to the case where the base manifold admits certain finer structures. In particular, when the base manifold has a fibration structure, a Riemann-Roch theorem for these invariants is established by computing the adiabatic limits of the associated η-invariants.

关 键 词：Sub-signature operators η-Invariants Flat vector bundles Riemann-Roch 

分 类 号：O186.12[理学—数学]