Weierstrass Polynomials for Links

    Project Details

    Description

    There is a natural way of identifying knots and links in 3-space with
    covering spaces defined as zero sets for parametrized families of complex
    polynomials over the circle (polynomial covering spaces over the circle).
    The geometrical objects mentioned can all be constructed by closing a
    braid around an axis in 3-space. Polynomial invariants are very important
    in the study of knots and links. However, polynomials of Weierstrass type,
    as above, have not been considered in the earlier studies. In the present
    project these connections are examined.
    StatusActive
    Effective start/end date01/01/1996 → …