Title of article
Branched polynomial covering maps
Author/Authors
Hansen، نويسنده , , Vagn Lundsgaard، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2002
Pages
10
From page
63
To page
72
Abstract
A Weierstrass polynomial with multiple roots in certain points leads to a branched covering map. With this as the guiding example, we formally define and study the notion of a branched polynomial covering map. We shall prove that many finite covering maps are polynomial outside a discrete branch set. Particular studies are made of branched polynomial covering maps arising from Riemann surfaces and from knots in the 3-sphere.
Keywords
Branched polynomial covering space , Weierstrass polynomial , Riemann surface , knot , 3-Manifold
Journal title
Topology and its Applications
Serial Year
2002
Journal title
Topology and its Applications
Record number
1580068
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