All roots of unity are detected by the A-polynomial.
All two dimensions links are null homotopic.
Almost integral TQFTs from simple Lie algebras.
Almost-Bieberbach groups with prime order holonomy
The main issue of this paper is an attempt to find a decomposition theorem for infra-nilmanifolds in the same spirit as a result of A. Vasquez for flat Riemannian manifolds. That is: we look for infra-nilmanifolds with prime order holonomy which can be obtained as a fiber space with a non-trivial nilmanifold as fiber and an infra-nilmanifold as its base. In this perspective, we prove the following algebraic result: if E is an almost-Bieberbach group with prime order holonomy,...
Amenable actions of amalgamated free products of free groups over a cyclic subgroup and generic property
We show that the amalgamated free products of two free groups over a cyclic subgroup admit amenable, faithful and transitive actions on infinite countable sets. This work generalizes the results on such actions for doubles of free group on two generators.
Amenable groups and Euler characteristic.
Amenable Groups and Stabilizers of Measures on the Boundary of a Hadamard Manifold.
Amenable, transitive and faithful actions of groups acting on trees
We study under which condition an amalgamated free product or an HNN-extension over a finite subgroup admits an amenable, transitive and faithful action on an infinite countable set. We show that such an action exists if the initial groups admit an amenable and almost free action with infinite orbits (e.g. virtually free groups or infinite amenable groups). Our result relies on the Baire category Theorem. We extend the result to groups acting on trees.
An Abelian Quotient of the Mapping Class Group ...g.
An Algebraic Classification of some Knots of Codimension Two.
An algorithm of finding planar surfaces in three-manifolds.
An algorithm to detect laminar 3-manifolds.
An almost-integral universal Vassiliev invariant of knots.
An analogue of covering space theory for ranked posets.
An analytic interpretation of real dimension subgroups.
An approach to automorphisms of free groups and braids via transvections.
An asymptotic formula for the eta invariants of hyperbolic 3-manifolds.
An effective algorithm to get linking numbers of the 3-manifolds.
An elementary approach to the mapping class group of a surface.
An equivalence criterion for 3-manifolds.
Within geometric topology of 3-manifolds (with or without boundary), a representation theory exists, which makes use of 4-coloured graphs. Aim of this paper is to translate the homeomorphism problem for the represented manifolds into an equivalence problem for 4-coloured graphs, by means of a finite number of graph-moves, called dipole moves. Moreover, interesting consequences are obtained, which are related with the same problem in the n-dimensional setting.