Branched polynomial covering maps

Vagn Lundsgaard Hansen

Branched polynomial covering maps

Vagn Lundsgaard Hansen

Research output: Book/Report › Report › Research › peer-review

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

Number of pages	9
Publication status	Published - 1999

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