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The equality of 3-manifold invariants

Published online by Cambridge University Press:  24 October 2008

John W. Barrett  and
Bruce W. Westbury
John W. Barrett
Affiliation:
Department of Mathematics, University of Nottingham, University Park, Nottingham, NG7 2RD
Bruce W. Westbury
Affiliation:
Department of Mathematics, University of Nottingham, University Park, Nottingham, NG7 2RD
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Abstract

The invariants of 3-manifolds defined by Kuperberg for involutory Hopf algebras and those defined by the authors for spherical Hopf algebras are the same for Hopf algebras on which they are both defined.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 118 , Issue 3 , November 1995 , pp. 503 - 510
Copyright
Copyright © Cambridge Philosophical Society 1995

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References

REFERENCES

[1]Barrett, J. W. and Westbury, B. W.. Invariants of pieceurise-linear 3-manifolds to appear in Trans. Amer. Math. Soc.Google Scholar
[2]Kuperberg, G.. Involutory Hopf algebras and 3-manifold invariants. Int. J. Math. 2 (1990), 41–66.CrossRefGoogle Scholar
[3]Larson, R. G. and Radford, D. E.. Semisimple cosemisimple Hopf algebras. Amer. J. Math. 109 (1987), 187–195.Google Scholar
[4]Larson, R. G. and Sweedler, M. E.. An associative orthogonal bilinear form for Hopf algebras. Amer. J. Math. 91 (1969), 75–94.CrossRefGoogle Scholar