On the Density of Ratios of Chern Numbers of Algebraic Surfaces.
On the Determinacy of Smooth Map-Germs.
On the diffeomorphism types of elliptic surfaces with multiple fibers.
On the difference between real and complex arrangements.
On the differentiable structure of certain algebraic surfaces
On the differential form spectrum of hyperbolic manifolds
We give a lower bound for the bottom of the differential form spectrum on hyperbolic manifolds, generalizing thus a well-known result due to Sullivan and Corlette in the function case. Our method is based on the study of the resolvent associated with the Hodge-de Rham laplacian and leads to applications for the (co)homology and topology of certain classes of hyperbolic manifolds.
On the differentialbility of maps into lie transformation groups.
On the discrete Godbillon-Vey invariant and Dehn surgery on geodesic flows
On the discriminants of forms with Arf invariant one.
On the disjoint (0,N)-cells property for homogeneous ANR's
A metric space (X,ϱ) satisfies the disjoint (0,n)-cells property provided for each point x ∈ X, any map f of the n-cell into X and for each ε > 0 there exist a point y ∈ X and a map such that ϱ(x,y) < ε, and . It is proved that each homogeneous locally compact ANR of dimension >2 has the disjoint (0,2)-cells property. If dimX = n > 0, X has the disjoint (0,n-1)-cells property and X is a locally compact -space then local homologies satisfy for k < n and Hn(X,X-x) ≠ 0.
On the Donaldson polynomials of elliptic surfaces.
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 embedding theorem
On the equivariant homotopy of spheres [Book]
On the Equivariant Morse Chain Complex of the Space of Closed Curves.
On the essential height of homotopy trees with finite fundamental group
On the eta-invariant of -operator on some exotic 4-dimensional projective space