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Publications of the Research Institute for Mathematical Sciences
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Published online: 2016-11-28
Perverse Results on Milnor Fibers inside Parameterized Hypersurfaces
Brian Hepler[1] and David B. Massey[2] (1) Northeastern University, Boston, USA(2) Northeastern University, Boston, USA
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 defi ne 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 fi nite maps with isolated instabilities.
Keywords: Milnor fiber, hypersurface, stable unfolding, intersection cohomology, perverse sheaf
Hepler Brian, Massey David: Perverse Results on Milnor Fibers inside Parameterized Hypersurfaces. Publ. Res. Inst. Math. Sci. 52 (2016), 413-433. doi: 10.4171/PRIMS/186