• 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