On Dihedral Covering Spaces of Knots.
On groups generated by two positive multi-twists: Teichmüller curves and Lehmer's number.
On Heegaard Decompositions of Torus Knot Exteriors and Related Seifert Fibre Spaces.
On hyperbolic 3-manifolds obtained by Dehn surgery on links.
On hyperbolic 3-manifolds realizing the maximal distance between toroidal Dehn fillings.
On irregular links at infinity of algebraic plane curves.
On Khovanov's categorification of the Jones polynomial.
On linked Jordan curves in
On links with one codimension two compontent.
On malnormal peripheral subgroups of the fundamental group of a -manifold
Let be a non-trivial knot in the -sphere, its exterior, its group, and its peripheral subgroup. We show that is malnormal in , namely that for any with , unless is in one of the following three classes: torus knots, cable knots, and composite knots; these are exactly the classes for which there exist annuli in attached to which are not boundary parallel (Theorem 1 and Corollary 2). More generally, we characterise malnormal peripheral subgroups in the fundamental group of a...
On maximal fibred submanifolds of a knot exterior.
On McMullen's and other inequalities for the Thurston norm of link complements.
On Murasugi's and Traczyk's Criteria for Periodic Links.
On One-Relator Groups which Satisfy Poincaré Duality.
On Periodic Knots
On planarity of graphs in 3-manifolds.
On polynomials and surfaces of variously positive links
It is known that the minimal degree of the Jones polynomial of a positive knot is equal to its genus, and the minimal coefficient is 1, with a similar relation for links. We extend this result to almost positive links and partly identify the next three coefficients for special types of positive links. We also give counterexamples to the Jones polynomial-ribbon genus conjectures for a quasipositive knot. Then we show that the Alexander polynomial completely detects the minimal genus and fiber property...
On. positions of sets in spaces.
On real algebraic links in
Viene presentata una costruzione che, dato un arbitrario nodo , produce allo stesso tempo: 1) un'applicazione polinomiale con singolarità (debolmente) isolata in e come tipo di nodo della singolarità; 2) una risoluzione delle singolarità di nel senso di Hironaka. Specializzando la costruzione ai nodi fibrati otteniamo una versione debole (a meno di scoppiementi e nella categoria analitica reale) di un reciproco per il teorema di fibrazione di Milnor.
On Regular Coverings of Links.