On the Milnor number of non‐isolated singularities of holomorphic foliations and its topological invariance

Abstract

AbstractWe define the Milnor number of a one‐dimensional holomorphic foliation as the intersection number of two holomorphic sections with respect to a compact connected component of its singular set. Under certain conditions, we prove that the Milnor number of on a three‐dimensional manifold with respect to is invariant by topological equivalences.