116 citations · 1.7k across the 92 of their papers we have counts for
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On a conjecture of Atiyah
R. I. Grigorchuk, P. Linnell, T. Schick +1
In this note we explain how the computation of the spectrum of the lamplighter group from \cite{Grigorchuk-Zuk(2000)} yields a counterexample to a strong version of the Atiyah conj…
Graphs of groups and the Atiyah conjecture for one-relator groups
Warren Dicks, Thomas Schick
Paper withdrawn because of a gap in the proof of Proposition 3 of Thomas Schick: "Integrality of L2-Betti numbers", Math. Ann. 317, 727-750 (arXiv.org/abs/math.gt/0001101). Most re…
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…
Integrality of L2-Betti numbers
Thomas Schick
The Atiyah conjecture predicts that the L2-Betti numbers of a finite CW-complex with torsion-free fundamental group are integers. We show that the Atiyah conjecture holds (with an…