77 citations · 141 across the 18 of their papers we have counts for
14 papers · 1 filter
Special moves for open book decompositions of 3-manifolds
Riccardo Piergallini, Daniele Zuddas
We provide a complete set of two moves that suffice to relate any two open book decompositions of a given 3-manifold. One of the moves is the usual plumbing with a positive or nega…
Branched coverings of and other basic 4-manifolds
Riccardo Piergallini, Daniele Zuddas
We give necessary and sufficient conditions for a 4-manifold to be a branched covering of , , and , which are…
On branched covering representation of 4-manifolds
Riccardo Piergallini, Daniele Zuddas
We provide new branched covering representations for bounded and/or non-compact 4-manifolds, which extend the known ones for closed 4-manifolds. Assuming to be a connected orie…
Automorphisms of trivalent graphs
Silvia Benvenuti, Riccardo Piergallini
Let be the set of all uni/trivalent graphs representing the combinatorial structures of pant decompositions of the oriented surface of genus with boundary compone…
On four-dimensional 2-handlebodies and three-manifolds
Riccardo Piergallini, Ivelina Bobtcheva
We show that for any n > 3 there exists an equivalence functor from the category of n-fold connected simple coverings of B^3 x [0, 1] branched over ribbon surface tangles up to cer…
Lefschetz fibrations over the disc
Nikos Apostolakis, Riccardo Piergallini, Daniele Zuddas
We provide a complete set of moves relating any two Lefschetz fibrations over the disk having as their total space the same 4-dimensional 2-handlebody up to 2-equivalence. As a con…