Signature of Milnor fibers and map germs

Abstract: In this work we give an explicit construction to compute the signature of certain Milnor fibers. We study the case when the zero-fiber H(x, y, z) = 0 is a non- isolated singularity given by the image of a good map germ f : (C^2, 0) → (C^3, 0). The Milnor fiber is H(x, y, z) = δ (intersected with a small ball). We give a constructive argument and use immersion theory as well as Thom-Mather theory in the process.