|
Organizers |
Semi-canonical Seifert Surfaces in Simple Symmetric Knot Covers
by
Ken Perko
325 Old Army Road (One Perko Court), Scarsdale, New York
Working at the intersection of some elementary ideas in classical knot theory -- covering spaces, 3-colored diagrams, and Seifert surfaces -- we construct lifted surfaces that cobound the index 2 branch of a "simple" covering space (i.e., one for which meridians correspond to transpositions) and show how certain crossing reversals preserve, or predictably modify, its linking number with the sum of all the other branches. Note that Hilden and Montesinos proved long ago that every closed orientable 3-manifold is a simple 3-fold knot cover.
Date received: December 8, 2018
Copyright © 2018 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cbpq-22.