Spectral distribution and L²-isoperimetric profile of Laplace operators on groups
joint with Alexander Bendikov and
Christophe Pittet
[arXiv:0901.0271]
A spectral sequence to compute L²-Betti numbers of groups and groupoids
joint with Andreas Thom accepted for Journal of the London Mathematical Society. see also these slides
of a talk on this subject.
[arXiv:0707.0906]
Degree theorems and Lipschitz simplicial volume for
non-positively curved manifolds of finite volume
joint with Clara Löh appeared in Journal of Topology, Volume 2, Number 1, 2009
[arXiv:0710.1635]
[Journal] [MR2499443]
Simplicial Volume of Hilbert modular varieties
joint with Clara Löh appeared in Commentarii Mathematici Helvetici, Volume 84, Issue 3, 2009.
[arXiv:0706.3904] [Journal] [MR2507250]
Amenable covers, volume and L²-Betti numbers of
aspherical manifolds accepted for J. Reine Angew. Math (Crelle's Journal).
[math.AT/0605627]
Homological invariants and quasi-isometry appeared in Geom. Funct. Anal. (GAFA), Volume 16, Number 2 / April,
2006.
[math.AT/0312129]
[Journal]
[MR2231471]
L²-Betti numbers of discrete measured groupoids appeared in Internat. J. Algebra Comput. 15
(2005), no. 5-6.
[math.AT/0312411]
[Journal]
[MR2197826]
Power series over the group ring of a free group and applications to Novikov-Shubin invariants appeared in Proceedings of the School High-Dimensional
Manifold Topology, Trieste, 2003.
[pdf]
[MR2048733]
Expository papers:
Homotopy invariance of almost flat Betti numbers
joint with Thomas
Schick appeared in Enseign. Math. (2) 54 (2008), no. 1-2 (Guido's book of conjectures)
[pdf] [MR2454697]
Volume and L²-Betti numbers of aspherical manifolds appeared in Proceedings of the Courant Colloquium
Göttingen 2007 (ISBN 3-978-3-940344-56-4)
[Online edition] [pdf]
In preparation
Restricted measure equivalence rigidity of hyperbolic lattices.
joint with Uri Bader and Alex
Furman. See also these
slides of a talk on this subject.
Sobolev homology of word-hyperbolic groups.
joint with Uri Bader and Alex
Furman.
Homotopy colimits and Euler characteristics of categories.
joint with Tom Fiore
and Wolfgang Lück.