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On the Milnor Number of Non-Isolated Singularities of Holomorphic Foliations and Its Topological Invariance
(John Wiley and Sons Ltd, 2023-03-01)
We define the Milnor number of a one-dimensional holomorphic foliation (Formula presented.) as the intersection number of two holomorphic sections with respect to a compact connected component (Formula presented.) of its singular set. Under certain conditions, we prove that the Milnor number of (Formula presented.) on a three-dimensional manifold with respect to (Formula presented.) is invariant by (Formula presented.) topological equivalences.

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