116 citations · 1.7k across the 92 of their papers we have counts for
33 papers · 1 filter
Combinatorial zeta functions counting triangles
Léo Bénard, Yann Chaubet, Nguyen Viet Dang +1
In this paper, we compute special values of certain combinatorial zeta functions counting geodesic paths in the (n-1)-skeleton of a triangulation of a n-dimensional manifold. We sh…
The derivative map for diffeomorphism of disks: An example
Diarmuid Crowley, Thomas Schick, Wolfgang Steimle
We prove that the derivative map , defined by taking the derivative of a diffeomorphism, can induce a nontrivial map on homotopy g…
On positive scalar curvature bordism
Paolo Piazza, Thomas Schick, Vito Felice Zenobi
Using standard results from higher (secondary) index theory, we prove that the positive scalar curvature bordism groups of a cartesian product GxZ are infinite in dimension 4n if n…
Coarse Homotopy Groups
Paul D. Mitchener, Behnam Norouzizadeh, Thomas Schick
In this note on coarse geometry we revisit coarse homotopy. We prove that coarse homotopy indeed is an equivalence relation, and this in the most general context of abstract coarse…
Harmonic spinors and metrics of positive curvature via the Gromoll filtration and Toda brackets
Diarmuid Crowley, Thomas Schick, Wolfgang Steimle
We construct non-trivial elements of order 2 in the homotopy groups , for * congruent 1 or 2 modulo 8, which are detected by the "assembling homomorp…
On computing homology gradients over finite fields
Łukasz Grabowski, Thomas Schick
Recently the so-called Atiyah conjecture about l^2-Betti numbers has been disproved. The counterexamples were found using a specific method of computing the spectral measure of a m…