Absolute subcomplexes
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.
Algebraic Equations for a Class of P.L.Spaces.
Algebraic models of Poincaré embeddings.
Algebraic properties of decorated splitting obstruction groups
In questo articolo si riassumono le definizioni e le principali proprietà dei gruppi di ostruzione con decorazione di tipo LS e LP. Si stabiliscono nuove relazioni fra questi gruppi e si descrivono le proprietà delle mappe naturali fra differenti gruppi con decorazione. Si costruiscono varie successioni spettrali, contenenti questi gruppi con decorazione, e si studiano la loro connessione con le successioni spettrali in -teoria per certe estensioni quadratiche di antistrutture. Infine, si introduce...
Algebraic Torsion for Infinite Simple Homotopy Types
Algorithmic unsolvability of the triviality problem for multidimensional knots.
All knots are algebraic.
All two dimensions links are null homotopic.
Almost Canonical Inverse Images
An acyclic extension of the braid group.
An Algebraic Model for G-Simple Homotopy Types.
An analytic proof of Novikov's theorem on rational Pontrjagin classes
An equivalence criterion for 3-manifolds.
Within geometric topology of 3-manifolds (with or without boundary), a representation theory exists, which makes use of 4-coloured graphs. Aim of this paper is to translate the homeomorphism problem for the represented manifolds into an equivalence problem for 4-coloured graphs, by means of a finite number of graph-moves, called dipole moves. Moreover, interesting consequences are obtained, which are related with the same problem in the n-dimensional setting.
An introduction to the abelian Reidemeister torsion of three-dimensional manifolds
These notes accompany some lectures given at the autumn school “Tresses in Pau” in October 2009. The abelian Reidemeister torsion for -manifolds, and its refinements by Turaev, are introduced. Some applications, including relations between the Reidemeister torsion and other classical invariants, are surveyed.
An invariant of link cobordisms from Khovanov homology.
An invariant of tangle cobordisms via subquotients of arc rings
We construct an explicit categorification of the action of tangles on tensor powers of the fundamental representation of quantum sl(2).
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.
Analytic and Reidemeister Torsion for Representation in Finite Type Hilbert Modules.