Concordance implies homotopy for classical links in M3.
Concordance invariance of coefficients of Conway's link polynomial.
Configuration spaces and Vassiliev classes in any dimension.
Conjugacy classes of the hyperelliptic mapping class group of genus 2 and 3.
Conjugacy for positive permutation braids
Positive permutation braids on n strings, which are defined to be positive n-braids where each pair of strings crosses at most once, form the elementary but non-trivial building blocks in many studies of conjugacy in the braid groups. We consider conjugacy among these elementary braids which close to knots, and show that those which close to the trivial knot or to the trefoil are all conjugate. All such n-braids with the maximum possible crossing number are also shown to be conjugate. ...
Conjugacy Relations in Subgroups of the Mapping Class Group and a Group-Theoretic Description of the Rochlin Invariant.
Constructing and forbidding automorphisms in lifted maps
Constructing conformally flat structures on some Seifert fibred 3-manifolds.
Constructing equivariant maps for representations
We show that if is a discrete subgroup of the group of the isometries of , and if is a representation of into the group of the isometries of , then any -equivariant map extends to the boundary in a weak sense in the setting of Borel measures. As a consequence of this fact, we obtain an extension of a result of Besson, Courtois and Gallot about the existence of volume non-increasing, equivariant maps. Then, we show that the weak extension we obtain is actually a measurable -equivariant...
Constructing Lens Spaces by Surgery on Knots.
Constructing symplectic forms on 4--manifolds which vanish on circles.
Constructing taut foliations.
Construction of Einstein metrics by generalized Dehn filling
In this paper, we present a new approach to the construction of Einstein metrics by a generalization of Thurston's Dehn filling. In particular in dimension 3, we will obtain an analytic proof of Thurston's result.
Contact 3-manifolds twenty years since J. Martinet's work
The paper gives an account of the recent development in 3-dimensional contact geometry. The central result of the paper states that there exists a unique tight contact structure on . Together with the earlier classification of overtwisted contact structures on 3-manifolds this result completes the classification of contact structures on .
Contact geometry and complex surfaces.
Contact homology and one parameter families of Legendrian knots.
Contact topology and the structure of 5-manifolds with
We prove a structure theorem for closed, orientable 5-manifolds with fundamental group and second Stiefel-Whitney class equal to zero on . This structure theorem is then used to construct contact structures on such manifolds by applying contact surgery to fake projective spaces and certain -quotients of .
Contractibility of deformation spaces of -trees.
Convergence groups and Seifert fibered 3-manifolds.
Convergence groups from subgroups.