Caractéristiques d'euler et groupes fondamentaux des variétés de dimension 4.
Characterization of knot complements in the n-sphere
Knot complements in the n-sphere are characterized. A connected open subset W of is homeomorphic with the complement of a locally flat (n-2)-sphere in , n ≥ 4, if and only if the first homology group of W is infinite cyclic, W has one end, and the homotopy groups of the end of W are isomorphic to those of in dimensions less than n/2. This result generalizes earlier theorems of Daverman, Liem, and Liem and Venema.
Classification of simple knots by Levine pairings.
Cobordism of algebraic knots.
Cobordism of algebraic knots via Seifert forms.
Cobordisme d'enlacements de disques
Cobordisme des entrelacs
Cocycle invariants of codimension 2 embeddings of manifolds
We consider the classical problem of a position of n-dimensional manifold Mⁿ in . We show that we can define the fundamental (n+1)-cycle and the shadow fundamental (n+2)-cycle for a fundamental quandle of a knotting . In particular, we show that for any fixed quandle, quandle coloring, and shadow quandle coloring, of a diagram of Mⁿ embedded in we have (n+1)- and (n+2)-(co)cycle invariants (i.e. invariant under Roseman moves).
Complements of tori and Klein bottles in the 4-sphere that have hyperbolic structure.
Corrigendum to: "Aspherical four-manifolds and the centres of two-knot groups".
Crosscaps and knots.
Cyclic group actions on odd-dimensional spheres.