8 citations · 31 across the 11 of their papers we have counts for
11 papers
Non-orientable 3-manifolds of surface-complexity one
Gennaro Amendola
We classify all closed non-orientable -irreducible 3-manifolds obtained by identifying the faces of a cube. These turn out to be the closed non-orientable $\mathbb{P}…
A complexity of compact 3-manifold via immersed surfaces
Gennaro Amendola
We define an invariant, which we call surface-complexity, of compact 3-manifolds by means of Dehn surfaces. The surface-complexity is a natural number measuring how much the manifo…
Orientable closed 3-manifolds with surface-complexity one
Gennaro Amendola
After a short summary of known results on surface-complexity of closed 3-manifolds, we will classify all closed orientable 3-manifolds with surface-complexity one.
Modularity and Optimality in Social Choice
Gennaro Amendola, Simona Settepanella
Marengo and the second author have developed in the last years a geometric model of social choice when this takes place among bundles of interdependent elements, showing that by bu…
A 3-manifold complexity via immersed surfaces
Gennaro Amendola
We define an invariant, which we call surface-complexity, of closed 3-manifolds by means of Dehn surfaces. The surface-complexity of a manifold is a natural number measuring how mu…
Moves for standard skeleta of 3-manifolds with marked boundary
Gennaro Amendola
We prove that the classical set of moves for standard spines of 3-manifolds (i.e. the MP-move and the V-move) does not suffice to relate to each other any two standard skeleta of a…