# Introduction to Arrangements

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*Peter Orlik*

A co-publication of the AMS and CBMS

An arrangement of hyperplanes is a finite collection
of codimension one subspaces in a finite-dimensional 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.

#### Table of Contents

# Table of Contents

## Introduction to Arrangements

- Cover Cover11 free
- Title i2 free
- Copyright ii3 free
- Contents v6 free
- List of Figures vii8 free
- Preface ix10 free
- 1 Introduction 112 free
- 2 Combinatorics 1122
- 3 Combinatorial Algebras 2435
- 4 Lattice Homology 3445
- 5 The Complement M(A) 4354
- 6 The Cohomology of M(A) 5162
- 7 Differential Forms 6172
- 8 The Topology of M(A) 7081
- 9 Free Arrangements 8293
- 10 Reflection Arrangements 91102
- References 100111
- Back Cover Back Cover1122