Relations between the Jones and Q polynomials for 2-bridge and 3-braid links.
Relative growth rates of closed geodesics on a surface under varying hyperbolic structures.
Remark on the equisingularity of families of affine plane curves
We give some criteria for the equisingularity of families of affine plane curves.
Remarks on the Cobordism Group of Surface Diffeomorphisms.
Remarks on the history of the classification of knots
Remarques à propos d'un lemme de R.H. Fox, le groupe fondamental d'un revêtement ramifié
Dans cette note, nous reformulons et nous démontrons un lemme dont l’énoncé et la démonstration donnés dans un article de R.H. Fox sur les revêtements ramifiés, comportent un certain nombre d’imprécisions. Nous établissons aussi deux théorèmes qui sont utilisés pour calculer le groupe fondamental de l’antécédent, au sens de Fox, d’un revêtement ramifié lorsque celui-ci est un complexe homogène sans bord de dimension ou une -variété combinatoire sans bord.
Representation of -knots.
Representation of finite groups and the first Betti number of branched coverings of a universal Borromean orbifold
The paper studies the first homology of finite regular branched coverings of a universal Borromean orbifold called B 4,4,4ℍ3. We investigate the irreducible components of the first homology as a representation space of the finite covering transformation group G. This gives information on the first betti number of finite coverings of general 3-manifolds by the universality of B 4,4,4. The main result of the paper is a criterion in terms of the irreducible character whether a given irreducible representation...
Representation of links by braids: A new algorithm.
Representations in SU(2) of the fundamental groups of the Whitehead link and of doubled knots.
Representations of (1,1)-knots
We present two different representations of (1,1)-knots and study some connections between them. The first representation is algebraic: every (1,1)-knot is represented by an element of the pure mapping class group of the twice punctured torus PMCG₂(T). Moreover, there is a surjective map from the kernel of the natural homomorphism Ω:PMCG₂(T) → MCG(T) ≅ SL(2,ℤ), which is a free group of rank two, to the class of all (1,1)-knots in a fixed lens space. The second representation is parametric: every...
Representations of orbifold groups and parabolic bundles.
Representations of palindromically presented groups onto finite subgroups of
Representations of polygons of finite groups.
Representations of the Kauffman bracket skein algebra of the punctured torus
We describe the action of the Kauffman bracket skein algebra on some vector spaces that arise as relative Kauffman bracket skein modules of tangles in the punctured torus. We show how this action determines the Reshetikhin-Turaev representation of the punctured torus. We rephrase our results to describe the quantum group quantization of the moduli space of flat SU(2)-connections on the punctured torus with fixed trace of the holonomy around the boundary.
Representations of the Whitehead manifold and Julia sets
Representing 3-manifolds by triangulations of . I: A constructive approach.
Representing open 3-manifolds as 3-fold branched coverings.
It is proved that the Freudenthal compactification of an open, connected, oriented 3-manifold is a 3-fold branched covering of S3, and in some cases, a 2-fold branched covering of S3. The branching set is a locally finite disjoint union of strings.
Reshetikhin-Turaev invariants of Seifert 3-manifolds and a rational surgery formula.
Residual Finiteness of Surface Groups via Tessellations.