13 citations · 24 across the 13 of their papers we have counts for
16 papers
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…
On the topology of the space of Ricci-positive metrics
Boris Botvinnik, Johannes Ebert, David J. Wraith
We show that the space of metrics with positive Ricci curvature on the manifold has nontrivial ration…
Homotopy groups of the observer moduli space of Ricci positive metrics
Boris Botvinnik, Mark G. Walsh, David J. Wraith
The observer moduli space of Riemannian metrics is the quotient of the space of all Riemannian metrics on a manifold by the group of diffeomorphisms $\mathrm{D…
Intermediate curvatures and highly connected manifolds
Diarmuid Crowley, David Wraith
We show that after forming a connected sum with a homotopy sphere, all (2j-1)-connected 2j-parallelisable manifolds in dimension 4j+1, j > 0, can be equipped with Riemannian metric…
Path-component invariants for spaces of positive scalar curvature metrics
David J. Wraith
The Kreck-Stolz -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)…
Non-negative versus positive scalar curvature
Thomas Schick, David J. Wraith
We show that results about spaces or moduli spaces of positive scalar curvature metrics proved using index theory can typically be extended to non-negative scalar curvature metrics…
Positive Ricci curvature on highly connected manifolds
Diarmuid Crowley, David J. Wraith
For let be a -connected closed manifold. If mod assume further that is -parallelisable. Then there is a homotopy sphe…
G-manifolds with positive Ricci curvature and many isolated singular orbits
David J. Wraith
We show that in cohomogeneity 3 there are G-manifolds with any given number of isolated singular orbits and an invariant metric of positive Ricci curvature. We show that the corres…
On the curvature of G-manifolds with finitely many non-principal orbits
Stefan Bechtluft-Sachs, David J. Wraith
We investigate the curvature of invariant metrics on G-manifolds with finitely many non-principal orbits. We prove existence results for metrics of positive Ricci curvature and non…
On the topology of G-manifolds with finitely many non-principal orbits
Stefan Bechtluft-Sachs, David J. Wraith
We study the topology of compact manifolds with a Lie group action for which there are only finitely many non-principal orbits, and describe the possible orbit spaces which can occ…
On the moduli space of positive Ricci curvature metrics on homotopy spheres
David J. Wraith
We show that the moduli space of Ricci positive metrics on certain homotopy spheres has infinitely many connected components.