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.
Product Identifiers
Publisher
American Mathematical Society
ISBN-10
0821807234
ISBN-13
9780821807231
eBay Product ID (ePID)
962637
Product Key Features
Author
Not Available
Publication Name
Introduction to Arrangements
Format
Trade Paperback
Language
English
Publication Year
1989
Series
Cbms Regional Conference Series in Mathematics Ser.
Type
Textbook
Number of Pages
110 Pages
Dimensions
Item Length
9.8in
Item Width
7.1in
Item Weight
7.7 Oz
Additional Product Features
Series Volume Number
72
Lc Classification Number
Qa1.R33 No. 72
Table of Content
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.