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Invariants of 3-manifolds derived from universal invariants of framed links

Published online by Cambridge University Press:  24 October 2008

Tomotada Ohtsuki
Tomotada Ohtsuki
Affiliation:
Department of Mathematical Sciences, University of Tokyo, Hongo, Tokyo (113), Japan
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Extract

Reshetikhin and Turaev [10] gave a method to construct a topological invariant of compact oriented 3-manifolds from a ribbon Hopf algebra (e.g. a quantum group Uq(sl2)) using finite-dimensional representations of it. In this paper we give another independent method to construct a topological invariant of compact oriented 3-manifolds from a ribbon Hopf algebra via universal invariants of framed links without using representations of the algebra. For Uq(sl2) these two methods give different invariants of 3-manifolds.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 117 , Issue 2 , March 1995 , pp. 259 - 273
Copyright
Copyright © Cambridge Philosophical Society 1995

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References

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