32 citations · 167 across the 31 of their papers we have counts for
12 papers · 1 filter
Torus actions, almost non-negative curvature and fundamental groups
Michael Wiemeler
We show that purely topological torus symmetries impose strong restrictions on the fundamental groups of almost non-negatively curved closed manifolds and on their actions on highe…
Positively curved -manifolds with -symmetry
Anusha M. Krishnan, Michael Wiemeler
We show that closed, simply connected, positively curved 10-manifolds with effective, isometric actions of -dimensional tori are homotopy spheres or homotopy complex projective…
Positive curvature, torus symmetry, and matroids
Lee Kennard, Michael Wiemeler, Burkhard Wilking
We identify a link between regular matroids and torus representations all of whose isotropy groups have an odd number of components. Applying Seymour's 1980 classification of the f…
Splitting of torus representations and applications in the Grove symmetry program
Lee Kennard, Michael Wiemeler, Burkhard Wilking
A 1930s conjecture of Hopf states that an even-dimensional compact Riemannian manifold with positive sectional curvature has positive Euler characteristic. We prove this conjecture…
On the homotopy type of the space of metrics of positive scalar curvature
Johannes Ebert, Michael Wiemeler
Let be a simply connected spin manifold of dimension admitting Riemannian metrics of positive scalar curvature. Denote by the space of such me…
Non-negatively curved GKM orbifolds
Oliver Goertsches, Michael Wiemeler
In this paper we study non-negatively curved and rationally elliptic GKM manifolds and orbifolds. We show that their rational cohomology rings are isomorphic to the rational co…
On the topology of moduli spaces of non-negatively curved Riemannian metrics
Wilderich Tuschmann, Michael Wiemeler
We study spaces and moduli spaces of Riemannian metrics with non-negative Ricci or non-negative sectional curvature on closed and open manifolds. We construct, in particular, the f…
Moduli spaces of invariant metrics of positive scalar curvature on quasitoric manifolds
Michael Wiemeler
We show that the higher homotopy groups of the moduli space of torus-invariant positive scalar curvature metrics on certain quasitoric manifolds are non-trivial.
Differentiable stability and sphere theorems for manifolds and Einstein manifolds with positive scalar curvature
Wilderich Tuschmann, Michael Wiemeler
Leon Green obtained remarkable rigidity results for manifolds of positive scalar curvature with large conjugate radius and/or injectivity radius. Using convergence techni…
Torus orbifolds, slice-maximal torus actions and rational ellipticity
Fernando Galaz-Garcia, Martin Kerin, Marco Radeschi +1
In this work, it is shown that a simply-connected, rationally-elliptic torus orbifold is equivariantly rationally homotopy equivalent to the quotient of a product of spheres by an…
Positively curved GKM-manifolds
Oliver Goertsches, Michael Wiemeler
Let T be a torus of dimension at least k and M a T-manifold. M is a GKM_k-manifold if the action is equivariantly formal, has only isolated fixed points, and any k weights of the i…
Torus manifolds and non-negative curvature
Michael Wiemeler
A torus manifold is a -dimensional orientable manifold with an effective action of an -dimensional torus such that . In this paper we discuss the clas…