Polynomial complements
type: Item
instance of: scholarly article
title: Polynomial complements
zbMATH Open document ID: 0666.57003
DOI: 10.1016/0166-8641(89)90078-3
author: Jesper M. Møller
published in: Topology and its Applications
publication date: 1989-01-01T00:00:00Z
review text: A covering is said to be polynomial [\textit{V. L. Hansen}, J. Reine Angew. Math. 314, 29-39 (1980; Zbl 0421.57001)] if it admits an embedding, over the base space, into the trivial complex line bundle. The complement of an n-fold polynomial covering is a locally trivial fibre bundle whose fibres are planes with n points removed. It is shown that equivalence classes of such complement fibrations are in bijective correspondence with principal B(n)-bundles, where B(n) is the braid group on n strings.
Mathematics Subject Classification ID: 57M10
Mathematics Subject Classification ID: 55R25
zbMATH DE Number: 4090371
zbMATH Keywords: Weierstrass polynomial
zbMATH Keywords: braid group bundles
zbMATH Keywords: complement of an n-fold polynomial covering
MaRDI profile type: Publication
full work available at URL: 0166-8641(89)90078-3
OpenAlex ID: W4213281332
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description: scientific article; zbMATH DE number 4090371