Ohtsuki's invariant cannot determine the full so (3) quantum invariants

Li Banghe, Li Tianjun

Research output: Contribution to journalArticlepeer-review

Abstract

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

Original languageEnglish (US)
Pages (from-to)642-644
Number of pages3
JournalActa Mathematica Scientia
Volume29
Issue number3
DOIs
StatePublished - May 2009

Bibliographical note

Funding Information:
∗Received December 4, 2008. The first author is supported partially by NSF (10771206) and 973 (2004CB318000) of P.R.China; The second author is supported partially by NSF grant 0435099 USA

Keywords

  • 57M27
  • 57R56
  • Ohtsuki's invariant
  • SO(3) quantum invariants
  • lens space

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