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math.GT2019
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…
math.GT2019
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…