Perverse Results on Milnor Fibers inside Parameterized Hypersurfaces

  • Brian Hepler

    Northeastern University, Boston, USA
  • David B. Massey

    Northeastern University, Boston, USA

Abstract

We discuss some results for the cohomology of Milnor fibers inside parameterized hypersurfaces which follow quickly from results in the category of perverse sheaves. In particular, we define a new perverse sheaf called the multiple-point complex of the parameterization, which naturally arises when investigating how the multiple-point set influences the topology of the Milnor fiber. We also discuss applications to stable unfoldings of finite maps with isolated instabilities.

Cite this article

Brian Hepler, David B. Massey, Perverse Results on Milnor Fibers inside Parameterized Hypersurfaces. Publ. Res. Inst. Math. Sci. 52 (2016), no. 4, pp. 413–433

DOI 10.4171/PRIMS/186