On the actions of SO(3) on lens spaces
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 algebraic structure on the jet prolongations of fibred manifolds
On the asymptotic number of plane curves and alternating knots.
On the Betti numbers of the real part of a three-dimensional torus embedding
Let X be the three-dimensional, complete, nonsingular, complex torus embedding corresponding to a fan and let V be the real part of X (for definitions see [1] or [3]). The aim of this note is to give a simple combinatorial formula for calculating the Betti numbers of V.
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 Buchstaber subring in .
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 Cech bicomplex associated with foliated structures
For a codimension foliation on a manifold, defines the Godbillon-Vey class. We show that itself defines a certain cohomology class, via the Cech bicomplex.
On the character variety of group representations in SL (2, C) and PSL (2, C).
On the Chern character of glued bundles
On the classification of compact surfaces admitting cellular decompositions. (Sur la classification des surfaces compactes qui admettent décomposition cellulaire.)
On the classification of G-spheres II: PL automorphism groups.
On the classification of oriented vector bundles over 9-complexes
On the classification of tight contact structures. I.
On the Classification of Topological 4-Manifolds with Finite Fundamental Group.
On the cohomology algebra of a fiber.
On the Cohomology of Bigraded Forms Associated With Foliated Structures