Computing arithmetic invariants of 3-manifolds.
Computing immersed normal surfaces in the figure-eight knot complement.
Computing linking numbers of a filtration.
Computing triangulations of mapping tori of surface homeomorphisms.
Computing varieties of representations of hyperbolic 3-manifolds into .
Concordance and 1-loop clovers.
Concordance and mutation.
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.