Eta Invariants for Even Dimensional Manifolds
Differential Geometry
2011-10-17 v1
Abstract
In previous work, we introduced eta invariants for even dimensional manifolds. It plays the same role as the eta invariant of Atiyah-Patodi-Singer, which is for odd dimensional manifolds. It is associated to representatives on even dimensional manifolds, and is defined on a finite cylinder, rather than on the manifold itself. Thus it is an interesting question to find an intrinsic spectral interpretation of this new invariant. Using adiabatic limit technique, we give such an intrinsic interpretation.
Cite
@article{arxiv.1110.3063,
title = {Eta Invariants for Even Dimensional Manifolds},
author = {Xianzhe Dai},
journal= {arXiv preprint arXiv:1110.3063},
year = {2011}
}
Comments
to appear in Proceedings of the fifth ICCM