N-dimensional Beaded Necklaces and Higher Dimensional Wild Knots Invariant by a Schottky Group

Explore a 45-minute mathematics lecture on constructing wild knots with Cantor sets of wild points from smooth n-dimensional knots in the (n+2)-sphere S^{n+2}, using beaded n-dimensional necklaces and conformal Schottky group actions. Learn how to generate wild knots through inversions on spheres at bead boundaries, understand their fibration properties when derived from fibered knots, and examine cyclic branched coverings along these wild knots, including conditions under which branch coverings become homeomorphic to S^{n+2}.