1 citations · 1 across the 2 of their papers we have counts for
5 papers
A table of -component handlebody links of genus up to six crossings
Giovanni Bellettini, Giovanni Paolini, Maurizio Paolini +1
A handlebody link is a union of handlebodies of positive genus embedded in 3-space, which generalizes the notion of links in classical knot theory. In this paper, we consider handl…
Numerical irreducibility criteria for handlebody links
Giovanni Bellettini, Maurizio Paolini, Yi-Sheng Wang
In this paper we define a set of numerical criteria for a handlebody link to be irreducible. It provides an effective, easy-to-implement method to determine the irreducibility of h…
A complete invariant for closed surfaces in the three-sphere
Giovanni Bellettini, Maurizio Paolini, Yi-Sheng Wang
Associated to an embedded surface in the -sphere, we construct a diagram of fundamental groups, and prove that it is a complete invariant, wherefrom we deduce complete invariant…
On the relaxed area of the graph of discontinuous maps from the plane to the plane taking three values with no symmetry assumptions
Giovanni Bellettini, Alaa Elshorbagy, Maurizio Paolini +1
In this paper we estimate from above the area of the graph of a singular map taking a disk to three vectors, the vertices of a triangle, and jumping along three $\mathcal{C}^2-…
Covers, soap films and BV functions
Giovanni Bellettini, Maurizio Paolini, Franco Pasquarelli +1
In this paper we first review the covering space method with constrained BV functions for solving the classical Plateau's problem. Next, we carefully analyze some interesting examp…