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Morse theory, Milnor fibers and minimality of hyperplane arrangements

Richard Randell
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Abstract

Through the study of Morse theory on the associated Milnor fiber, we show that complex hyperplane arrangement complements are minimal. That is, the complement of a complex hyperplane arrangement has the homotopy type of a CW complex in which the number of p-cells equals the p-th betti number.

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Richard Randell. 2001-02-14. Morse theory, Milnor fibers and minimality of hyperplane arrangements. https://arxiv.org/abs/math/0011101

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