A lower bound on the top Betti number of the Milnor fiber

David Massey

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arXiv · 2308.09776

A lower bound on the top Betti number of the Milnor fiber

David Massey

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Abstract

We derive a lower bound for the top possibly-non-zero Betti number of the Milnor fiber of an analytic function in terms of the zero-dimensional L\^e number and the internal monodromy of the vanishing cycles restricted to the complex link of the critical locus of the function.

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David Massey. 2023-08-18. A lower bound on the top Betti number of the Milnor fiber. https://arxiv.org/abs/2308.09776

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