Cancellation of lattices and finite two-complexes.
Caractéristiques d'euler et groupes fondamentaux des variétés de dimension 4.
Characteristic numbers, bordism theory and the Novikov conjecture for open manifolds
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.
Circle-valued Morse theory and Reidemeister torsion.
Classical and quantum dilogarithmic invariants of flat -bundles over 3-manifolds.
Classification of simple knots by Levine pairings.
Close PL involutions of 3-manifolds have close fixed point sets: 1-dimensional components
Close PL involutions of 3-manifolds which are conjugate by a small homeomorphism
Cobordism of algebraic knots.
Cobordism of algebraic knots via Seifert forms.
Cobordisme d'enlacements de disques
Cobordisme des entrelacs
Cobordisme d'immersions
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).
Coloured knots and permutations representing 3-manifolds.
Combinatorial 3-manifolds with 10 vertices.
Combinatorial formulae for multiple set-valued labellings.
Combinatorial Hodge Theory and Signature Operator.
Compacta weak shape equivalent to ANR's