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math.DS2003
About homotopy classes of non-singular vector fields on the three-sphere
Emmanuel Dufraine
Generically, the set of points along which two non-singular vector fields on the three-sphere are positively (resp. negatively) collinear form a link. We prove that the two vector…
math.DS2003
Classification of a generic set of saddle connections in dimension 3
Emmanuel Dufraine
We consider an open and dense subset of the set of all connections (heteroclinic orbits) between two saddles of a vector field in dimension three. We give a complete classification…