4-Manifolds which embed in IR6 but not in IR5, and Seifert manifolds for fibered knots.
A characterization of 2-knots groups.
A n-knot group is the fundamental group of the complement of an n-sphere smoothly embedded in Sn+2. Artin gave in 1925 ([A]) an algebraic characterization of 1-knot groups. M. Kervaire gave in 1965 ([K]) an algebraic characterization of n-knot groups for n ≥ 3. The problem of characterizing algebraically 2-knot groups has been posed several times (see for example [Su, Problem 4.7]). Ribbon 2-knot groups have been characterized algebraically by Yajima [Y].We will give here a characterization of 2-knot...
A functional relation in stable knot theory.
A genus for N-dimensional knots and links.
A Note on Higher Dimensional Knots.
A theorem of Sanderson on link bordisms in dimension 4.
Abelian normal subgroups of two-knot groups.
Acyclic Maps and Knot Complements.
Alexander ideals of classical knots.
The Alexander ideals of classical knots are characterised, a result which extends to certain higher dimensional knots.
Algorithmic unsolvability of the triviality problem for multidimensional knots.
All knots are algebraic.
All two dimensions links are null homotopic.
An acyclic extension of the braid group.
An invariant of link cobordisms from Khovanov homology.
An unknotting theorem for tori in 4-dimensional spheres.
Let T be a torus in S4 and T* a projection of T. If the singular set Gamma(T*) consists of one disjoint simple closed curve, then T can be moved to the standard position by an ambient isotopy of S4.
Another Space-Filling Trefoil Knot.
Aspherical four-manifolds and the centres of two-knot groups.
Aspherical Manifolds and Higher-Dimensional Knots
Augmented group systems and n-knots.
Belts and k-invariants of link maps in spheres.