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.
| Original language | English |
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| Number of pages | 9 |
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| Publication status | Published - 1999 |