Helmut Hamm

Title: On the connectedness of the Milnor fibre

Abstract: 
The Milnor fibre of a holomorphic function is known to be connected 
if its dimension is >0 and there is an isolated singularity (because then 
the Milnor fibre has the homotopy type of a bouquet of n-spheres). Here we 
weaken the assumption considerably. Furthermore we pass to a related global 
object: the number of connected components of the general fibre of a polynomial 
function. Also, we establish a connection with local Lefschetz theorems and Stein 
factorization theorem.