5 papers
Scalar Curvature Rigidity for Products of convex Hypersurfaces and even dimensional Manifolds
Georg Frenck, Thomas Schick, Lukas Schönlinner
We give a proof of scalar curvature rigidity in the spirit of Llarull and Goette-Semmelmann for products of strictly convex hypersurfaces in Euclidean space and nonnegatively curve…
Stolz Positive Scalar Curvature Structure Groups, Proper Actions and Equivariant 2-Types
Massimiliano Puglisi, Thomas Schick, Vito Felice Zenobi
In this note, we study equivariant versions of Stolz' -groups, the positive scalar curvature structure groups , for proper actions of discrete groups . W…
Abstract cone operators and Lipschitz rigidity for scalar curvature on singular manifolds
Simone Cecchini, Bernhard Hanke, Thomas Schick +1
Using the index theory for twisted Dirac operators acting on sections of Lipschitz bundles over non-compact manifolds, we prove Llarull-type comparison results in scalar curvature…
Topological Complexity of symplectic CW-complexes
Luca Sandrock, Thomas Schick
A cohomology class u of a topological space X is atoroidal if its pullback to the torus vanishes for every map from a torus to X. Furthermore, X is atoroidally symplectic if there…
Coarse Baum-Connes and warped cones: failure of surjectivity in odd degree
Christos Kitsios, Thomas Schick, Federico Vigolo
We prove a conjecture of Roe by constructing unified warped cones that violate the coarse Baum-Connes conjecture. Interestingly, the reason for this is probably not what Roe expect…