Mark G. Walsh

activity

20082021

most citedHomotopy groups of the moduli space of metrics of positive scalar curvature

20 citations · 53 across the 10 of their papers we have counts for

collaborators

10 papers

math.DG2021

Positive $(p, n)$ -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…

math.DG2020★ 1 cited

H-Space and Loop Space Structures for Intermediate Curvatures

Mark Walsh, David J. Wraith

For dimensions $n \geq 3$ and $k \in {2, \dots, n}$ , we show that the space of metrics of $k$ -positive Ricci curvature on the sphere $S^{n}$ has the structure of an $H$ -space with…

math.AT2020★ 1 cited

Homotopy invariance of the space of metrics with positive scalar curvature on manifolds with singularities

Boris Botvinnik, Mark Walsh

In this paper we study manifolds, $X_{Σ}$ , with fibred singularities, more specifically, a relevant space $R^{psc} (X_{Σ})$ of Riemannian metrics with positive scalar cur…

math.DG2017★ 13 cited

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 $R (M)$ of all Riemannian metrics on a manifold $M$ by the group of diffeomorphisms $\mathrm{D…

math.DG2014★ 9 cited

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…

math.DG2013

H-Spaces, Loop Spaces and the Space of Positive Scalar Curvature Metrics on the Sphere