20 citations · 53 across the 10 of their papers we have counts for
8 papers · 1 filter
Positive -intermediate scalar curvature and cobordism
Matthew Burkemper, Catherine Searle, Mark Walsh
In this paper we consider a well-known construction due to Gromov and Lawson, Schoen and Yau, Gajer, and Walsh which allows for the extension of a metric of positive scalar curvatu…
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…
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…
The Space of Positive Scalar Curvature Metrics on a Manifold with Boundary
Mark Walsh
We study the space of Riemannian metrics with positive scalar curvature on a compact manifold with boundary. These metrics extend a fixed boundary metric and take a product structu…
H-Spaces, Loop Spaces and the Space of Positive Scalar Curvature Metrics on the Sphere
Mark Walsh
For dimensions n greater than or equal to 3, we show that the space of metrics of positive scalar curvature on the n-sphere is homotopy equivalent to a subspace which takes the for…
Cobordism Invariance of the Homotopy Type of the Space of Positive Scalar Curvature Metrics
Mark Walsh
We show that the homotopy type of the space of metrics of positive scalar curvature on a smooth manifold remains unchanged, after application of surgery in codimension at least thr…