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20002026
most citedApproximating Spectral invariants of Harper operators on graphs II

13 citations · 14 across the 7 of their papers we have counts for

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7 papers

math.DG2026

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…

math.DG2025★ 1 cited

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…

math.AT2025

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…

math.KT2025

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…

math.GT2024

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…

math.SP2002★ 13 cited

Approximating Spectral invariants of Harper operators on graphs II

Varghese Mathai, Thomas Schick, Stuart Yates

We study Harper operators and the closely related discrete magnetic Laplacians (DML) on a graph with a free action of a discrete group, as defined by Sunada. The spectral density f…