|
Organizers |
On the structure of the Hoste-Przytycki Link homotopy Skein Modules of oriented 3-manifolds
by
Uwe Kaiser
Boise State University
It is known that relations in the Hoste-Przytycki Link Homotopy Skein modules are inductively defined from transverse intersections of singular tori in 3-manifolds with oriented links. We will describe the resulting presentations of the skein modules. Then recent results of Stefan Friedl on centralizers of elements of 3-manifold groups and known results about centralizers in Seifert fibred manifolds can be used to describe how the structure of the skein modules depend on the prime and JSJ-decomposition of 3-manifolds. We will also review the q-homotopy skein modules defined by Przytycki from this viewpoint.
Date received: November 20, 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-02.