J. Aust. Math. Soc.  75 (2003), 385-398
On calculation of the Witten invariants of 3-manifolds

Eugene Rafikov
  Department of Differential Geometry
  Faculty of Mechanics and Mathematics
  Moscow State University
  Moscow 119899
  Russia
  rafikov@mccme.ru
Dusan Repovs
  Institute for Mathematics,
  Physics and Mechanics
  University of Ljubljana
  P.O. Box 2964
  1001 Ljubljana
  Slovenia
  dusan.repovs@fmf.uni-lj.si
and
Fulvia Spaggiari
  Department of Mathematics
  University of Modena and Reggio Emilia
  Via Campi 213/B
  41100 Modena
  Italy
  spaggiari@unimo.it


Abstract
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.
Download the article in PDF format (size 130 Kb)
TeXAdel Scientific Publishing ©  Australian MS