8 citations · 9 across the 5 of their papers we have counts for
17 papers · 1 filter
Representations of (1,1)-knots
Alessia Cattabriga, Michele Mulazzani
We present two different representations of (1,1)-knots and study some connections between them. The first representation is algebraic: every (1,1)-knot is represented by an elemen…
Strongly-cyclic branched coverings of knots via -decompositions
Paola Cristofori, Michele Mulazzani, Andrei Vesnin
Strongly-cyclic branched coverings of knots are studied by using their (g,1)-decompositions. Necessary and sufficient conditions for the existence and uniqueness of such coverings…
All strongly-cyclic branched coverings of (1,1)-knots are Dunwoody manifolds
Alessia Cattabriga, Michele Mulazzani
We show that every strongly-cyclic branched covering of a (1,1)-knot is a Dunwoody manifold. This result, together with the converse statement previously obtained by Grasselli and…
Volumes for twist link cone-manifolds
Dmitriy Derevnin, Alexander Mednykh, Michele Mulazzani
Recently, the explicit volume formulae for hyperbolic cone-manifolds, whose underlying space is the 3-sphere and the singular set is the knot and the links and $6^2_2…
Torus knots and Dunwoody manifolds
Huseyin Aydin, Inci Gultekyn, Michele Mulazzani
We obtain an explicit representation, as Dunwoody manifolds, of all cyclic branched coverings of torus knots of type , with and .
(1,1)-knots via the mapping class group of the twice punctured torus
Alessia Cattabriga, Michele Mulazzani
We develop an algebraic representation for (1,1)-knots using the mapping class group of the twice punctured torus MCG(T,2). We prove that every (1,1)-knot in a lens space L(p,q) ca…