Articles

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

  • LI Bang-He ,
  • LI Tian-Jun
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  • 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 date: 2008-12-04

  Online 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}.

Cite this article

LI Bang-He , LI Tian-Jun . OHTSUKI’S INVARIANT CANNOT DETERMINE THE FULL SO(3) QUANTUM INVARIANTS[J]. Acta mathematica scientia, Series B, 2009 , 29(3) : 642 -644 . DOI: 10.1016/S0252-9602(09)60060-6

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