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.
Algebraic linking numbers of knots in 3-manifolds.
Algebraic properties of mapping class groups of surfaces
Algorithmic detection and description of hyperbolic structures on closed 3-manifolds with solvable word problem.
All CAT(0) boundaries of a group of the form H × K are CE equivalent
M. Bestvina has shown that for any given torsion-free CAT(0) group G, all of its boundaries are shape equivalent. He then posed the question of whether they satisfy the stronger condition of being cell-like equivalent. In this article we prove that the answer is "Yes" in the situation where the group in question splits as a direct product with infinite factors. We accomplish this by proving an interesting theorem in shape theory.
All flat manifolds are cusps of hyperbolic orbifolds.
All integral slopes can be Seifert fibered slopes for hyperbolic knots.
All Knot Groups Are Metric.
All knots are algebraic.