Diffeomorphic souls and disconnected moduli spaces of nonnegatively curved metrics
arXiv:2005.05755
Abstract
We give examples of open manifolds that carry infinitely many complete metrics of nonnegative sectional curvature such that they all have the same soul, and their isometry classes lie in different connected components of the moduli space. All previously known examples of this kind have souls of codimension one. In our examples the souls have codimensions three and two.
Accepted for publication in the Annales de l'Institut Fourier, minor edits, 12 pages