Abstract
We show by explicit examples that in many degrees in a stable range the homotopy groups of the moduli spaces of Riemannian metrics of positive scalar curvature on closed smooth manifolds can be non-trivial. This is achieved by further developing and then applying a family version of the surgery construction of Gromov–Lawson to certain nonlinear smooth sphere bundles constructed by Hatcher.
Citation
Boris Botvinnik. Bernhard Hanke. Thomas Schick. Mark Walsh. "Homotopy groups of the moduli space of metrics of positive scalar curvature." Geom. Topol. 14 (4) 2047 - 2076, 2010. https://doi.org/10.2140/gt.2010.14.2047
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