116 citations · 1.7k across the 92 of their papers we have counts for
9 papers · 1 filter
Lipschitz rigidity for scalar curvature
Simone Cecchini, Bernhard Hanke, Thomas Schick
Let be a closed smooth connected spin manifold of even dimension , let be a Riemannian metric of regularity , , on whose distributional scalar curvat…
Remarks on the paper "On Gromov's dihedral extremality and rigidity conjectures" by Jinmin Wang, Zhizhang Xie and Guoliang Yu
Christian Baer, Bernhard Hanke, Thomas Schick
Version 2 of the article "On Gromov's dihedral extremality and rigidity conjectures" by Jinmin Wang, Zhizhang Xie and Guoliang Yu makes a number of claims for self-adjoint extensio…
A note on invertibility of the Dirac operator twisted with Hilbert-A-module coefficients
Thomas Schick
Given a closed connected spin manifold M with non-negative and somewhere positive scalar curvature, we show that the Dirac operator twisted with any flat Hilbert module bundle is i…
Non-negative versus positive scalar curvature
Thomas Schick, David J. Wraith
We show that results about spaces or moduli spaces of positive scalar curvature metrics proved using index theory can typically be extended to non-negative scalar curvature metrics…
Large time limit and local L^2-index theorems for families
Sara Azzali, Sebastian Goette, Thomas Schick
We compute explicitly, and without any extra regularity assumptions, the large time limit of the fibrewise heat operator for Bismut-Lott type superconnections in the L^2-setting. T…
Loop groups and string topology
Thomas Schick
Survey article on loop groups and their representations, following a course of three lectures held at the summer school "algebraic groups" at the Georg-August-Universitaet zu Goett…
Manifolds with boundary and of bounded geometry
Thomas Schick
For non-compact manifolds with boundary we prove that bounded geometry defined by coordinate-free curvature bounds is equivalent to bounded geometry defined using bounds on the met…
Positive and negative results concerning the Gromov-Lawson-Rosenberg conjecture
Michael Joachim, Thomas Schick
The Gromov-Lawson-Rosenberg-conjecture for a group G states that a closed spin manifold M^n (n>4) with fundamental group G admits a metric with positive scalar curvature if and onl…
L2-torsion of hyperbolic manifolds
Eckehard Hess, Thomas Schick
The L^2-torsion is an invariant defined for compact L^2-acyclic manifolds of determinant class, for example odd dimensional hyperbolic manifolds. It was introduced by John Lott and…