Corpus ID: 56124978

Path-component invariants for spaces of positive scalar curvature metrics

@article{Wraith2016PathcomponentIF,
  title={Path-component invariants for spaces of positive scalar curvature metrics},
  author={David J. Wraith},
  journal={arXiv: Differential Geometry},
  year={2016}
}
  • D. Wraith
  • Published 11 August 2016
  • Mathematics
  • arXiv: Differential Geometry
The Kreck-Stolz s-invariant is a classic path-component invariant for the space and moduli space of positive scalar curvature metrics. It is an absolute (as opposed to relative) invariant, but this strength comes at the expense of being defined only under restrictive topological conditions. The aim of this paper is to construct an analogous invariant for certain product manifolds on which the s-invariant is not defined. 
On the topology of moduli spaces of non-negatively curved Riemannian metrics
We study spaces and moduli spaces of Riemannian metrics with non-negative Ricci or non-negative sectional curvature on closed and open manifolds and construct, in particular, the first classes ofExpand

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This is the publisher’s final pdf. The published article is copyrighted by the American Mathematical Society and can be found at: http://www.ams.org/publications/journals/journalsframework/proc.
NONCONNECTED MODULI SPACES OF POSITIVE SECTIONAL CURVATURE METRICS
For a closed manifold M let 9\~(M) (resp. 9\~ic(M)) be the space of Riemannian metrics on M with positive sectional (resp. Ricci) cur- vature and let Diff(M) be the diffeomorphism group of M, whichExpand
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