Deformations of reducible representations of 3-manifold groups into .
Deformations of representations of discrete subgroups of SO (3,1).
Deforming representations of knot groups in SU(2).
Degree one maps between small 3-manifolds and Heegaard genus.
Dehn filling: A survey
In this paper we give a brief survey of the present state of knowledge on exceptional Dehn fillings on 3-manifolds with torus boundary. For our discussion, it is necessary to first give a quick overview of what is presently known, and what is conjectured, about the structure of 3-manifolds. This is done in Section 2. In Section 3 we summarize the known bounds on the distances between various kinds of exceptional Dehn fillings, and compare these with the distances that arise in known examples. In...
Dehn twists on nonorientable surfaces
Let be the Dehn twist about a circle a on an orientable surface. It is well known that for each circle b and an integer n, , where I(·,·) is the geometric intersection number. We prove a similar formula for circles on nonorientable surfaces. As a corollary we prove some algebraic properties of twists on nonorientable surfaces. We also prove that if ℳ(N) is the mapping class group of a nonorientable surface N, then up to a finite number of exceptions, the centraliser of the subgroup of ℳ(N) generated...
Deligne-Beilinson cohomology and abelian link invariants.
Delta link-homotopy on spatial graphs.
We study new equivalence relations in spatial graph theory. We consider natural generalizations of delta link-homotopy on links, which is an equivalence relation generated by delta moves on the same component and ambient isotopies. They are stronger than edge-homotopy and vertex-homotopy on spatial graphs which are natural generalizations of link-homotopy on links. Relationship to existing familiar equivalence relations on spatial graphs are stated, and several invariants are defined by using the...
Démonstration d'un théorème de Penner sur la composition des twists de Dehn
Demostración de Hamilton-Perelman de las conjeturas de Poincaré y Thurston.
Des groupes magiques ou quand des sous-groupes libres affines opèrent proprement discontinûment sur
Description chirurgicale des revêtements triples simples de ramifiés le long d’un entrelacs
Nous présentons un algorithme permettant de convertir une présentation de variété de dimension 3 comme revêtement simple à trois feuillets de la sphère en une présentation de chirurgie.
Detecting fibred links in S3.
Determinants of knots and Diophantine equations
Développements récents sur les groupes de tresses. Applications à la topologie et à l'algèbre
Dicovering spaces.
Die Unterscheidung von Homotopietyp und einfachem Homotopietyp bei zweidimensionalen Komplexen.
Diffeomorphic types of the complements of arrangements of hyperplanes
Differentiable Motions of Unknotted, Unlinked Circles in 3-Space.
Discrete Dirac operators on Riemann surfaces and Kasteleyn matrices
Let be a flat surface of genus with cone type singularities. Given a bipartite graph isoradially embedded in , we define discrete analogs of the Dirac operators on . These discrete objects are then shown to converge to the continuous ones, in some appropriate sense. Finally, we obtain necessary and sufficient conditions on the pair for these discrete Dirac operators to be Kasteleyn matrices of the graph . As a consequence, if these conditions are met, the partition function of the dimer...