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