Algebraic and Geometric Topology 3 (2003), paper no. 34, pages 1005-1035.

Deformation of string topology into homotopy skein modules

Uwe Kaiser

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

AMS subject classification. Primary: 57M25. Secondary: 57M35, 57R42.

DOI: 10.2140/agt.2003.3.1005

E-print: arXiv:math.GT/0211392

Submitted: 20 Febuary 2003. Accepted: 8 October 2003. Published: 11 October 2003.

Notes on file formats

Uwe Kaiser
Department of Mathematics, Boise State University
1910 University Drive, Boise, ID 83725-1555, USA


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