Lê-Greuel type formula for the Euler obstruction and applications (Q2445371)

The authors prove new interesting relations among various invariants associated to complex analytic function germs (or to pairs of such germs) defined on a singular analytic set: the Milnor number, (first) Teissier number, local Euler obstruction, Brasselet number. These invariants are also related to the number of Morse critical points occurring in a partial Morsefication of the given germ, generalizing in this way the formulas due to Lê and Greuel.