Relative index pairing and odd index theorem for even dimensional manifolds Academic Article uri icon


  • We prove an analogue for even dimensional manifolds of the Atiyah-Patodi-Singer twisted index theorem for trivialized flat bundles. We show that the eta invariant appearing in this result coincides with the eta invariant by Dai and Zhang up to an integer. We also obtain the odd dimensional counterpart for manifolds with boundary of the relative index pairing by Lesch, Moscovici and Pflaum. © 2010 Elsevier Inc.

author list (cited authors)

  • Xie, Z.

citation count

  • 1

publication date

  • April 2011