Abelian subgroups of the Torelli group.
About neighborhoods of surfaces integrally unknotted in
About presentations of braid groups and their generalizations
In the paper we give a survey of rather new notions and results which generalize classical ones in the theory of braids. Among such notions are various inverse monoids of partial braids. We also observe presentations different from standard Artin presentation for generalizations of braids. Namely, we consider presentations with small number of generators, Sergiescu graph-presentations and Birman-Ko-Lee presentation. The work of V.~V.~Chaynikov on the word and conjugacy problems for the singular...
About some infinite family of 2-bridge knots and 3-manifolds.
Actions cycliques libres sur les 3-Q-sphères
Actions de groupes finis sur : la conjecture de P. A. Smith
Actions de groupes sur les arbres
Actions of discrete groups on nonpositively curved spaces.
Actions of the group of homeomorphisms of the circle on surfaces
We describe all the group morphisms from the group of orientation-preserving homeomorphisms of the circle to the group of homeomorphisms of the annulus or of the torus.
Actions of on some surface-bundles over
Addendum and correction to: “Homology cylinders: an enlargement of the mapping class group”.
Addendum to Polynomial Invariants and the Integral Homology of Coverings of Knots and Links.
Adequacy of Link Families
Affine Birman-Wenzl-Murakami algebras and tangles in the solid torus
The affine Birman-Wenzl-Murakami algebras can be defined algebraically, via generators and relations, or geometrically as algebras of tangles in the solid torus, modulo Kauffman skein relations. We prove that the two versions are isomorphic, and we show that these algebras are free over any ground ring, with a basis similar to a well known basis of the affine Hecke algebra.
Alexander duality, gropes and link homotopy.
Alexander ideals of classical knots.
The Alexander ideals of classical knots are characterised, a result which extends to certain higher dimensional knots.
Alexander polynomial and Koszul resolution.
Alexander polynomial, finite type invariants and volume of hyperbolic knots.
Alexander stratifications of character varieties
Equations defining the jumping loci for the first cohomology group of one-dimensional representations of a finitely presented group can be effectively computed using Fox calculus. In this paper, we give an exposition of Fox calculus in the language of group cohomology and in the language of finite abelian coverings of CW complexes. Work of Arapura and Simpson imply that if is the fundamental group of a compact Kähler manifold, then the strata are finite unions of translated affine subtori. It...
Algebraic and Geometric Characterizations of Knots.