Computations and Applications of η Invariants

S Goette - Global differential geometry, 2011 - Springer
Computations and Applications of Á Invariants Page 1 Computations and Applications of Á
Invariants Sebastian Goette Abstract We give a survey on Á-invariants including methods of …

The eta invariant and equivariant bordism of flat manifolds with cyclic holonomy group of odd prime order

PB Gilkey, RJ Miatello, RA Podestá - Annals of Global Analysis and …, 2010 - Springer
We study the eta invariants of compact flat spin manifolds of dimension n with holonomy
group Z _p, where p is an odd prime. We find explicit expressions for the twisted and relative …

The eta invariant on two-step nilmanifolds

R Gornet, K Richardson - arXiv preprint arXiv:1210.8070, 2012 - arxiv.org
The eta invariant appears regularly in index theorems but is known to be directly computable
from the spectrum only in certain examples of locally symmetric spaces of compact type. In …

The η invariant of the Atiyah–Patodi–Singer operator on compact flat manifolds

RJ Miatello, RA Podestá - Annals of Global Analysis and Geometry, 2012 - Springer
Let D be the boundary operator defined by Atiyah, Patodi and Singer, acting on smooth even
forms of a compact orientable Riemannian manifold M. In continuation of our previous study …

[HTML][HTML] The eta function and eta invariant of Z2r-manifolds

RA Podestá - Differential Geometry and its Applications, 2017 - Elsevier
We compute the eta function η (s) and its corresponding η-invariant for the Atiyah–Patodi–
Singer operator D acting on an orientable compact flat manifold of dimension n= 4 h− 1, h≥ …