Relative index pairing and odd index theorem for even dimensional manifolds

abstract

• 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.

authors

• Xie, Zhizhang

published proceedings

• Journal of Functional Analysis

author list (cited authors)

• Xie, Z.

citation count

• 2

complete list of authors

• Xie, Zhizhang

publication date

• January 2011

publisher

• Elsevier  Publisher

published in

• Journal of Functional Analysis  Journal

Digital Object Identifier (DOI)

• 10.1016/j.jfa.2010.10.002

start page

• 2064

end page

• 2085

volume

• 260

issue

• 7

URL

• http://dx.doi.org/10.1016/j.jfa.2010.10.002