13 citations · 24 across the 13 of their papers we have counts for
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On the topology of the moduli space of positive scalar curvature concordances
Boris Botvinnik, David J. Wraith
Let be a manifold which admits a metric with positive scalar curvature (or a positive intermediate curvature in a suitable sense). We study the moduli space ${\mathscr{M}}^{\ma…
Positive intermediate Ricci curvature on connected sums
Philipp Reiser, David J. Wraith
We consider the problem of performing connected sums in the context of positive intermediate Ricci curvature. We show that such connected sums are possible if the manifold…
A generalization of the Perelman gluing theorem and applications
Philipp Reiser, David J. Wraith
We extend a positive Ricci curvature gluing theorem of Perelman to a range of positive intermediate curvature conditions, ranging from positive scalar curvature up to (and includin…
Positive Intermediate Ricci Curvature on Fibre Bundles
Philipp Reiser, David J. Wraith
We prove a canonical variation-type result for submersion metrics with positive intermediate Ricci curvatures. This can then be used in conjunction with surgery techniques to estab…
Intermediate Ricci curvatures and Gromov's Betti number bound
Philipp Reiser, David J. Wraith
We consider intermediate Ricci curvatures on a closed Riemannian manifold . These interpolate between the Ricci curvature when and the sectional curvature when…
H-Space and Loop Space Structures for Intermediate Curvatures
Mark Walsh, David J. Wraith
For dimensions and , we show that the space of metrics of -positive Ricci curvature on the sphere has the structure of an -space with…