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On calculation of the Witten invariants of 3-manifolds

Published online by Cambridge University Press:  09 April 2009

Eugene Rafikov
Affiliation:
Department of Differential Geometry, Faculty of Mechanics and Mathematics Moscow State University, Moscow 119899, Russia, e-mail: [email protected]
Dušan Repovš
Affiliation:
Institute for Mathematics Physics and Mechanics University of Ljubljana, P.O. Box 2964, 1001 Ljubljana Slovenia, e-mail: [email protected]
Fulvia Spaggiari
Affiliation:
Department of Mathematics, University of Modena and Reggio EmiliaVia Campi 213/B, 41100 Modena, Italy, e-mail: [email protected]
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Abstract

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In this paper we present a short definition of the Witten invariants of 3-manifolds. We also give simple proofs of invariance of those obtained for r = 3 and r = 4. Our definition is extracted from the 1993 paper of Lickorish and the Prasolov-Sossinsky book, where it is dispersed over 20 pages. We show by several examples that it is indeed convenient for calculations.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2003

References

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