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Quantum deformations of fundamental groups of oriented $3$-manifolds

Author: Uwe Kaiser
Journal: Trans. Amer. Math. Soc. 356 (2004), 3869-3880
MSC (2000): Primary 57M25, 57M35, 57R42
Published electronically: November 25, 2003
MathSciNet review: 2058509
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Abstract: We compute two-term skein modules of framed oriented links in oriented $3$-manifolds. They contain the self-writhe and total linking number invariants of framed oriented links in a universal way. The relations in a natural presentation of the skein module are interpreted as monodromies in the space of immersions of circles into the $3$-manifold.

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Additional Information

Uwe Kaiser
Affiliation: Department of Mathematics, Boise State University, 1910 University Drive, Boise, Idaho 83725-1555

Received by editor(s): March 12, 2002
Received by editor(s) in revised form: May 1, 2003
Published electronically: November 25, 2003
Article copyright: © Copyright 2003 American Mathematical Society

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