On the Reidemeister torsion of rational homology spheres.
On the structure of closed 3-manifolds
We will show that for every irreducible closed 3-manifold M, other than the real projective space P³, there exists a piecewise linear map f: S → M where S is a non-orientable closed 2-manifold of Euler characteristic χ ≡ 2 (mod 3) such that for all x ∈ M, the closure of the set is a cubic graph G such that consists of 1/3(2-χ) + 2 simply connected regions, M - f(S) consists of two disjoint open 3-cells such that f(S) is the boundary of each of them, and f has some additional interesting properties....
On the Structure of Foliated 3-Manifolds Separated by a Compact Leaf
On universal groups and three-manifolds.
Open 3-manifolds and branched coverings: a quick exposition.
Open 3-manifolds, wild subsets of S3 and branched coverings.
In this paper, a representation of closed 3-manifolds as branched coverings of the 3-sphere, proved in [13], and showing a relationship between open 3-manifolds and wild knots and arcs will be illustrated by examples. It will be shown that there exist a 3-fold simple covering p : S3 --> S3 branched over the remarkable simple closed curve of Fox [4] (a wild knot). Moves are defined such that when applied to a branching set, the corresponding covering manifold remains unchanged, while the branching...
Open books and configurations of symplectic surfaces.
Orientation Reversing Involutions and the First Betti Number for Finite Coverings of 3-Manifolds.
Ozsváth-Szabó invariants and tight contact three-manifolds; I.
Periodic homeomorphisms on and cubes with torus knotted holes
Peripheral Structure of 3-Manifolds
Planar surfaces in three-manifolds.
Planar trees, slalom curves and hyperbolic knots
Plane curves associated to character varieties of 3-manifolds.
Polynomial invariants for fibered 3-manifolds and teichmüller geodesics for foliations
Preuve de la conjecture de Poincaré en déformant la métrique par la courbure de Ricci
Nous présentons la preuve de la conjecture de Poincaré, concernant les variétés compactes simplement connexes de dimension , proposée par G. Perel’man. Elle repose sur l’étude de l’évolution de métriques riemanniennes sous le flot de la courbure de Ricci et sur les travaux antérieurs de R. Hamilton. Après une introduction aux techniques analytiques et géométriques développées par R. Hamilton, nous tentons de décrire la méthode de chirurgie métrique utilisée par G. Perel’man pour franchir les temps...
Products of Conjugacy Classes in a Free Group: a Counterexample.
Projective Planes in Irreducible 3-Manifolds.
Properly homotopic nontrivial planes are isotopic
It is proved that two planes that are properly homotopic in a noncompact, orientable, irreducible 3-manifold that is not homeomorphic to are isotopic. The end-reduction techniques of E. M. Brown and C. D. Feustal and M. G. Brin and T. L. Thickstun are used.
Quadruple points of 3-manifolds in S4.