On the dynamics and the fixed subgroup of a free group automorphism.
On the dynamics of (left) orderable groups
We develop dynamical methods for studying left-orderable groups as well as the spaces of orderings associated to them. We give new and elementary proofs of theorems by Linnell (if a left-orderable group has infinitely many orderings, then it has uncountably many) and McCleary (the space of orderings of the free group is a Cantor set). We show that this last result also holds for countable torsion-free nilpotent groups which are not rank-one Abelian. Finally, we apply our methods to the case of braid...
On the dynamics of pseudo-Anosov homeomorphisms on representation varieties of surface groups.
On the embedding of coverings into 1-dimensional bundles.
On the essential height of homotopy trees with finite fundamental group
On the existence of universal covering spaces for metric spaces and subsets of the Euclidean plane
We prove several results concerning the existence of universal covering spaces for separable metric spaces. To begin, we define several homotopy-theoretic conditions which we then prove are equivalent to the existence of a universal covering space. We use these equivalences to prove that every connected, locally path connected separable metric space whose fundamental group is a free group admits a universal covering space. As an application of these results, we prove the main result of this article,...
On the Farrell cohomology of mapping class groups.
On the Finiteness Obstruction of Nilpotent Spaces of the Same Genus.
On the first two Vassiliev invariants.
On the Floer homology of plumbed three-manifolds.
On the forcing relation for surface homeomorphisms
On the form of principal torus-bundles over toruses
On the fundamental group of a space of sections.
On the Fundamental Group of a Visibility Manifold.
On the genus of RP3 x S1.
On the genus of the complex projective plane.
On the geometric boundaries of hyperbolic 4-manifolds.
On the geometry at infinity of the universal covering of
On the Goeritz Matrix of a Link.
On the Hantzsche-Wendt Manifold.