We present an alternate definition of the mod Z component of the Atiyah-Patodi-Singer η invariant associated to(not necessary unitary )flat vector bundles,which identifies explicitly its realandimaginary parts.This...We present an alternate definition of the mod Z component of the Atiyah-Patodi-Singer η invariant associated to(not necessary unitary )flat vector bundles,which identifies explicitly its realandimaginary parts.This is done by combining a deformation of flatconnections introduced in a previous paper with the analytic continuation procedure appearing in the original article of Atiyah Patodi and Singer.展开更多
基金Project supported by the Cheung-Kong Scholarship of the Ministry of Education of Chinathe 973 Project of the Ministry of Science and Technology of China.
文摘We present an alternate definition of the mod Z component of the Atiyah-Patodi-Singer η invariant associated to(not necessary unitary )flat vector bundles,which identifies explicitly its realandimaginary parts.This is done by combining a deformation of flatconnections introduced in a previous paper with the analytic continuation procedure appearing in the original article of Atiyah Patodi and Singer.