2 papers
math.DG2025
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…
math.DG2024
Smoothness of submetries
Alexander Lytchak, Burkhard Wilking
We prove that a Riemannian submersion between smooth, compact, non-negatively curved Riemannian manifolds has to be smooth, resolving a conjecture by Berestovskii--Guijarro. We sho…