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Publications
- The homological torsion of SL_2 of the imaginary quadratic integers
We reveal a correspondence between the homological torsion of
the Bianchi groups and new
geometric invariants, which are effectively computable thanks to
their action on hyperbolic space.
We expose a novel technique, the
torsion subcomplex reduction,
to obtain these invariants. We
use it to explicitly compute the integral group homology of the Bianchi
groups.
On the archive HAL of the CNRS since the 19th of March 2011,
Accepted for publication at the Transactions of the AMS.
- Homology and K-theory of the Bianchi groups
-
Homologie et K-théorie des groupes de Bianchi
Note bilingue anglais/francais (English with abridged French version),
Comptes Rendus Mathématique of the Académie des Sciences - Paris,
Volume 349, Issues 11-12, June 2011, Pages 615-619,
doi:10.1016/j.crma.2011.05.014 .
The author's manuscript is
archived on HAL
and
the arXiv.
- The integral homology of PSL_2 of imaginary quadratic integers with nontrivial class group
Joint work with Mathias Fuchs.
Appeared in the Journal of Pure and Applied Algebra, DOI: 10.1016/j.jpaa.2010.09.005 . The authors' manuscript of this paper will remain freely available
here and on several preprint archives.
- Characteristic classes of complexified bundles
Paper contributed to the
Summer School in Algebraic Topology:
Sheaf theoretic methods in the theory of characteristic classes .
This paper is available
on the website of the Summer School .
-(Co)homologies et K-théorie de groupes de Bianchi par des modèles géométriques calculatoires
My thesis was defended October 15th, Grenoble. It is archived on
the server TEL of the CNRS.
Preprints:
- On level one cuspidal Bianchi modular forms
Joint work with Mehmet Haluk Sengun ,
preprint on HAL and the arXiv.