3-manifold invariants and periodicity of homology spheres.
A faithful linear-categorical action of the mapping class group of a surface with boundary
We show that the action of the mapping class group on bordered Floer homology in the second to extremal spin-structure is faithful. This paper is designed partly as an introduction to the subject, and much of it should be readable without a background in Floer homology.
A free group acting without fixed points on the rational unit sphere
A Kleinian group with contractible quotient not simply connected at infinity.
A note on pseudo-Anosov maps with small growth rate.
Abelian subgroups of the Torelli group.
Actions cycliques libres sur les 3-Q-sphères
Actions de groupes sur les arbres
Actions of the group of homeomorphisms of the circle on surfaces
We describe all the group morphisms from the group of orientation-preserving homeomorphisms of the circle to the group of homeomorphisms of the annulus or of the torus.
An elementary approach to the mapping class group of a surface.
An implementation of the Bestvina-Handel algorithm for surface homeomorphisms.
Area preserving group actions on surfaces.
Asymptotic laws for geodesic homology on hyperbolic manifolds with cusps
We consider a large class of non compact hyperbolic manifolds with cusps and we prove that the winding process generated by a closed -form supported on a neighborhood of a cusp , satisfies a limit theorem, with an asymptotic stable law and a renormalising factor depending only on the rank of the cusp and the Poincaré exponent of . No assumption on the value of is required and this theorem generalises previous results due to Y. Guivarc’h, Y. Le Jan, J. Franchi and N. Enriquez.
Bordism of oriented 5-manifolds with T-structure and polarization
Bordism of spin manifolds with local actions of Tori in low dimensions
Cannon-Thurston Maps, i-bounded Geometry and a Theorem of McMullen
The notion of i-bounded geometry generalises simultaneously bounded geometry and the geometry of punctured torus Kleinian groups. We show that the limit set of a surface Kleinian group of i-bounded geometry is locally connected by constructing a natural Cannon-Thurston map.
Cobordisms and Reidemeister torsions of homotopy lens spaces.
Convergence groups and Seifert fibered 3-manifolds.
Counting fixed points of a finitely generated subgroup of Aff [C].
Given a finitely generated subgroup G of the group of affine transformations acting on the complex line C, we are interested in the quotient Fix( G)/G. The purpose of this note is to establish when this quotient is finite and in this case its cardinality. We give an application to the qualitative study of polynomial planar vector fields at a neighborhood of a nilpotent singular point.
Cyclic branched coverings and homology 3-spheres with large group actions
We show that, if the covering involution of a 3-manifold M occurring as the 2-fold branched covering of a knot in the 3-sphere is contained in a finite nonabelian simple group G of diffeomorphisms of M, then M is a homology 3-sphere and G isomorphic to the alternating or dodecahedral group 𝔸₅ ≅ PSL(2,5). An example of such a 3-manifold is the spherical Poincaré sphere. We construct hyperbolic analogues of the Poincaré sphere. We also give examples of hyperbolic ℤ₂-homology 3-spheres with PSL(2,q)-actions,...