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 Alexander polynomials of alternating two-component links.
On the asymptotic number of plane curves and alternating knots.
On the boundary of 2-dimensional ideal polyhedra
It is proved that for every two points in the visual boundary of the universal covering of a -dimensional ideal polyhedron, there is an infinity of paths joining them.
On the Cantor-Bendixson rank of metabelian groups
We study the Cantor-Bendixson rank of metabelian and virtually metabelian groups in the space of marked groups, and in particular, we exhibit a sequence of 2-generated, finitely presented, virtually metabelian groups of Cantor-Bendixson rank .
On the dimension of 2-dimensional Bestvina-Brady groups.
On the character variety of group representations in SL (2, C) and PSL (2, C).
On the classification of compact surfaces admitting cellular decompositions. (Sur la classification des surfaces compactes qui admettent décomposition cellulaire.)
On the classification of tight contact structures. I.
On the cohomology of the classifying space of the gauge group over some 4-complexes
On the colored Jones polynomials of ribbon links, boundary links and Brunnian links
Habiro gave principal ideals of in which certain linear combinations of the colored Jones polynomials of algebraically-split links take values. The author proved that the same linear combinations for ribbon links, boundary links and Brunnian links are contained in smaller ideals of generated by several elements. In this paper, we prove that these ideals also are principal, each generated by a product of cyclotomic polynomials.
On the complexity of braids
We define a measure of “complexity” of a braid which is natural with respect to both an algebraic and a geometric point of view. Algebraically, we modify the standard notion of the length of a braid by introducing generators , which are Garside-like half-twists involving strings through , and by counting powered generators as instead of simply . The geometrical complexity is some natural measure of the amount of distortion of the times punctured disk caused by a homeomorphism. Our main...
On the complexity of graph-manifolds.
On the Conjugacy Problem for Knot Groups.
On the connectivity of skeletons of pseudomanifolds with boundary
In this note we show that -skeletons and -skeletons of -pseudomanifolds with full boundary are -connected graphs and -connected -complexes, respectively. This generalizes previous results due to Barnette and Woon.
On the covering space and the automorphism group of the covering space.
On the cut number of a 3-manifold.
On the cut point conjecture.
On the discrete Godbillon-Vey invariant and Dehn surgery on geodesic flows