Deformation of string topology into homotopy skein modules

Details Deformation of string topology into homotopy skein modules Deformation of string topology into homotopy skein modules

2002-11-25

arxiv.org/abs/math/0211392v2

Algebr. Geom. Topol. 3 (2003) 1005-1035

Mathematics

Geometric Topology

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol3/agt-3-34.abs.html

Scientific paper

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.

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