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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

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
Email: kaiser@math.boisestate.edu

DOI: http://dx.doi.org/10.1090/S0002-9947-03-03424-X
PII: S 0002-9947(03)03424-X
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