%0 Journal Article
%T Eta-Invariants and Determinant Lines
%A Xianzhe Dai
%A Daniel S. Freed
%J Physics
%D 1994
%I arXiv
%R 10.1063/1.530747
%X We study eta-invariants on odd dimensional manifolds with boundary. The dependence on boundary conditions is best summarized by viewing the (exponentiated) eta-invariant as an element of the (inverse) determinant line of the boundary. We prove a gluing law and a variation formula for this invariant. This yields a new, simpler proof of the holonomy formula for the determinant line bundle of a family of Dirac operators, also known as the ``global anomaly'' formula. This paper is written using AMSTeX 2.1, which can be obtained via ftp from the American Mathematical Society (instructions included). A postscript file with figures was submitted separately in uuencoded tar-compressed format.
%U http://arxiv.org/abs/hep-th/9405012v4