paper

Morse theory, Milnor fibers and minimality of hyperplane arrangements

arXiv:math/0011101

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.

8 pages, correction, added example, title change from "Morse theory, Milnor fibers and hyperplane arrangements