On the (-1)-curve conjecture of Friedmann and Morgan.
On the absolute value of the SO(3)-invariant and other summands of the Turaev-Viro invariant
On the AJ conjecture for cables of twist knots
We study the AJ conjecture that relates the A-polynomial and the colored Jones polynomial of a knot in S³. We confirm the AJ conjecture for (r,2)-cables of the m-twist knot, for all odd integers r satisfying ⎧ (r+8)(r−8m) > 0 if m > 0, ⎨ ⎩ r(r+8m−4) > 0 if m < 0.
On the classification of compact surfaces admitting cellular decompositions. (Sur la classification des surfaces compactes qui admettent décomposition cellulaire.)
On the Classification of Topological 4-Manifolds with Finite Fundamental Group.
On the complexity of graph-manifolds.
On the connectedness of boundary and complement for domains
This article gives a short and elementary proof of the fact that the connectedness of the boundary of an open domain in ℝⁿ is equivalent to the connectedness of its complement.
On the cut number of a 3-manifold.
On the differentiable structure of certain algebraic surfaces
On the Donaldson polynomials of elliptic surfaces.
On the embedding of coverings into 1-dimensional bundles.
On the exponent of the cokernel of the forget-control map on K₀-groups
For groups that satisfy the Isomorphism Conjecture in lower K-theory, we show that the cokernel of the forget-control K₀-groups is composed by the NK₀-groups of the finite subgroups. Using this information, we can calculate the exponent of each element in the cokernel in terms of the torsion of the group.
On the Farrell cohomology of mapping class groups.
On the Floer homology of plumbed three-manifolds.
On the forcing relation for surface homeomorphisms
On the functoriality of stratified desingularizations.
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 group of homotopy equivalences of simply connected five manifolds.