Abstract: For a complex analytic function on affine space, the cohomology of the Milnor fiber at each point in the critical locus is an important topological invariant. We will discuss our recent results on the set of points in the critical locus at which this cohomology jumps. In particular, if the critical locus is smooth, we will show that either the MIlnor fiber cohomology is constant throughout the critical locus or necessarily jumps on an analytic subset of codimension one.
See DOI: 10.1007/s00574-023-00374-4 (https://link.springer.com/