#### Volume 3, issue 2 (2003)

 Recent Issues
 The Journal About the Journal Editorial Board Editorial Interests Subscriptions Submission Guidelines Submission Page Policies for Authors Ethics Statement ISSN (electronic): 1472-2739 ISSN (print): 1472-2747 Author Index To Appear Other MSP Journals
Deformation of string topology into homotopy skein modules

### Uwe Kaiser

Algebraic & Geometric Topology 3 (2003) 1005–1035
 arXiv: math.GT/0211392
##### Abstract

Relations between the string topology of Chas and Sullivan and the homotopy skein modules of Hoste and Przytycki are studied. This provides new insight into the structure of homotopy skein modules and their meaning in the framework of quantum topology. Our results can be considered as weak extensions to all orientable 3–manifolds of classical results by Turaev and Goldman concerning intersection and skein theory on oriented surfaces.

##### Keywords
$3$–manifold, string topology, deformation, skein module, torsion, link homotopy, free loop space, Lie algebra
##### Mathematical Subject Classification 2000
Primary: 57M25
Secondary: 57M35, 57R42