Morse theory, Milnor fibers and minimality of hyperplane arrangements

Details Morse theory, Milnor fibers and minimality of hyperplane arrangements Morse theory, Milnor fibers and minimality of hyperplane arrangements

2000-11-15

arxiv.org/abs/math/0011101v3

Mathematics

Algebraic Topology

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

Scientific paper

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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