Acta mathematica scientia,Series B ›› 2009, Vol. 29 ›› Issue (3): 642-644.doi: 10.1016/S0252-9602(09)60060-6

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OHTSUKI’S INVARIANT CANNOT DETERMINE THE FULL SO(3) QUANTUM INVARIANTS

 LI Bang-He, LI Tian-Jun   

  1. Key Laboratory of Mathematics Mechanization, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijnig 100190, China;School of Mathematics, University of Minnesota, Minneapolis, MN 55455, U.S.A.
  • Received:2008-12-04 Online:2009-05-20 Published:2009-05-20
  • Supported by:

    The first author is supported partially by NSF (10771206) and 973 project (2004CB318000) of P.R.China; The second author is supported partially by NSF grant 0435099 USA

Abstract:

Two lens spaces are given to show, that Ohtsuki’s  for rational homology spheres does not determine Kirby-Melvin’s {τr, r odd ≥ 3}.

Key words: Ohtsuki’s invariant, SO(3) quantum invariants, lens space

CLC Number: 

  • 57M27
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