CBMS Regional Conference Series in Mathematics 1989; 110 pp; softcover Number: 72 ISBN10: 0821807234 ISBN13: 9780821807231 List Price: US$30 Member Price: US$24 All Individuals: US$24 Order Code: CBMS/72
 An arrangement of hyperplanes is a finite collection of codimension one subspaces in a finitedimensional vector space. Arrangements occur in several branches of mathematics: combinatorics, braids, hypergeometric functions, reflection groups, singularities, and coding theory. This book, based on lectures presented by the author at the CBMS Regional Conference held at Northern Arizona University in June 1988, provides the first introduction to the study of the topology of the complement of an arrangement in a complex vector space. The author discusses basic combinatorial tools, as well as algebras associated to the arrangement, differential forms, the cohomology and the homotopy type of the complement, free arrangements, and reflection arrangements. With a particular emphasis on topological aspects, this book provides an excellent introduction to current activity in this area. Readership Advanced graduate students and research mathematicians. Table of Contents  Introduction
 Combinatorics
 Combinatorial algebras
 Lattice homology
 The complement \(M(\mathcal A)\)
 The cohomology of \(M(\mathcal A)\)
 Differential forms
 The topology of \(M(\mathcal A)\)
 Free arrangements
 Reflection arrangements
 References
