Parallel transport in the determinant line bundle: The non-zero index case |
| |
| Authors: | S Della Pietra V Della Pietra |
| |
| Institution: | (1) Lyman Laboratory of Physics, Harvard University, 02138 Cambridge, MA, USA;(2) Theory Group, Physics Department, University of Texas, 78712 Austin, TX, USA |
| |
| Abstract: | For a product family of Weyl operators of possibly non-zero index on a compact manifoldX, we express parallel transport in the determinant line bundle in terms of the spectral asymmetry of a Dirac operator on  ×X. This generalizes the results of 7], where we dealt only with invertible operators.Supported in part by NSF Grant No. PHY 8605978 and the Robert A. Welch FoundationSupported in part by NSF Grant No. PHY 8215249 |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
