Remarks on intrinsic isometries
Remarks on locally compact group extensions.
Remarks on minimal round functions
We describe the structure of minimal round functions on compact closed surfaces and three-dimensional manifolds. The minimal possible number of critical loops is determined and typical non-equisingular round function germs are interpreted in the spirit of isolated line singularities. We also discuss a version of Lusternik-Schnirelmann theory suitable for round functions.
Remarks on nilpotent Lie algebras of vector fields.
Remarks on non-local invariants of Martinet's singular symplectic structures
Remarks on the Cobordism Group of Surface Diffeomorphisms.
Remarks on the history of the classification of knots
Remarks on the Schouten-Nijenhuis bracket
Remarks on the symmetries of planar fronts.
A front is the projection on the plane of a Legendrian immersion of a circle in the space of the contact elements of that plane. I analyze the symmetries of a generic front with respect to the group generated by the involutions reversing the orientation of the plane, the orientation of the preimage circle and the coorientation of the contact plane.
Remarque sur la cohomologie de l'algèbre de Lie des champs de vecteurs sur la sphère
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.
Removing Handles from Non-Singular Algebraic Surfaces in CP n+1.
Representation Forms for Metacyclic groups.
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.
Representation types and 2-primary homotopy groups of certain compact Lie groups.
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.