Algebraic & Geometric Topology 3 (2003) 1005–1035

DOI: 10.2140/agt.2003.3.1005

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

Primary: 57M25

Secondary: 57M35, 57R42

References

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Publication

Received: 20 2003
Accepted: 8 October 2003
Published: 11 October 2003

Authors