arXiv:math/0011101 Abstract

arXiv:math/0011101 [math.AT]Abstract References Reviews Resources

Morse theory, Milnor fibers and minimality of hyperplane arrangements

Published 2000-11-15, updated 2001-02-14Version 3

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.

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

Categories: math.AT, math.AG

Subjects: 52C35, 55Q52, 14M12

Keywords: morse theory, complex hyperplane arrangement complements, minimality, p-th betti number, homotopy type

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