Topology of Plane Arrangements and Their Complements
نویسنده
چکیده
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. Some recent results of the theory are presented.
منابع مشابه
Introductory courses of algebraic geometry usually explain that a smooth plane complex algebraic curve is homeomorphic to a closed orientable surface of genus
Introductory courses of algebraic geometry usually explain that a smooth plane complex algebraic curve is homeomorphic to a closed orientable surface of genus 1 2 (d− 1)(d− 2) where d is the degree of the defining equation of the curve. Homeomorphism type of a singular curve in P also can be easily visualized. It is the disjoint union of closed orientable surfaces, corresponding to irreducible ...
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