4 citations · 7 across the 11 of their papers we have counts for
3 papers · 1 filter
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 closed oriented surfaces in the 3-sphere
Giovanni Bellettini, Maurizio Paolini, Yi-Sheng Wang
In this paper we study embeddings of oriented connected closed surfaces in . We define a complete invariant, the fundamental span, for such embeddings, generalizing th…
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-…