8 citations · 9 across the 5 of their papers we have counts for
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An intrinsic characterization of p-symmetric Heegaard splittings
Michele Mulazzani
We show that every p-fold strictly-cyclic branched covering of a b-bridge link in the 3-sphere admits a p-symmetric Heegaard splitting of genus g=(b-1)(p-1). This gives a complete…
Strongly-cyclic branched coverings of (1,1)-knots and cyclic presentations of groups
Alessia Cattabriga, Michele Mulazzani
We study the connections among the mapping class group of the twice punctured torus, the cyclic branched coverings of (1,1)-knots and the cyclic presentations of groups. We give th…
Cyclic presentations of groups and cyclic branched coverings of (1,1)-knots
Michele Mulazzani
In this paper we study the connections between cyclic presentations of groups and branched cyclic coverings of (1,1)-knots. In particular, we prove that every n-fold strongly-cycli…
Lifting Braids
Michele Mulazzani, Riccardo Piergallini
In this paper we study the homeomorphisms of the disk that are liftable with respect to a simple branched covering. Since any such homeomorphism maps the branch set of the covering…
The many faces of cyclic branched coverings of 2-bridge knots and links
Michele Mulazzani, Andrei Vesnin
We discuss 3-manifolds which are cyclic coverings of the 3-sphere, branched over 2-bridge knots and links. Different descriptions of these manifolds are presented: polyhedral, Heeg…
Generalized Takahashi manifolds
Michele Mulazzani, Andrei Vesnin
We introduce a family of closed 3-dimensional manifolds, which are a generalization of certain manifolds studied by M. Takahashi. The manifolds are represented by Dehn surgery with…