|
Organizers |
Some knots whose complements are homotopy circles
by
Greg Friedman
Texas Christian University
We will present a construction of non-trivial piecewise-linear embeddings Sn-2→ Sn, n ≥ 5, that are locally-flat except at an isolated singularity and such that the complement of the embedding is a homotopy circle. This in contrast to the classical locally-flat case in which the complement is a homotopy circle only if the embedding is the trivial (unknotted) one. The construction involves some nice applications of surgery theory and group theory.
Date received: December 1, 2014
Copyright © 2014 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 # cbjz-19.