Topology of plane arrangements and their complements
Geometric Topology
2014-07-29 v1 Algebraic Topology
Combinatorics
Abstract
This is a glossary of notions and methods related with the topological theory of collections of affine planes, including braid groups, configuration spaces, order complexes, stratified Morse theory, simplicial resolutions, complexes of graphs, Orlik--Solomon rings, Salvetti complex, matroids, Spanier--Whitehead duality, twisted homology groups, monodromy theory and multidimensional hypergeometric functions. The emphasis on the most geometrical explanation is done; applications and analogies in the differential topology are outlined.
Keywords
Cite
@article{arxiv.1407.7236,
title = {Topology of plane arrangements and their complements},
author = {Victor A. Vassiliev},
journal= {arXiv preprint arXiv:1407.7236},
year = {2014}
}