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

Li Banghe; Li Tianjun

doi:10.1016/S0252-9602(09)60060-6

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

Li Banghe, Li Tianjun

Mathematics

Research output: Contribution to journal › Article › peer-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 language	English (US)
Pages (from-to)	642-644
Number of pages	3
Journal	Acta Mathematica Scientia
Volume	29
Issue number	3
DOIs	https://doi.org/10.1016/S0252-9602(09)60060-6
State	Published - 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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10.1016/S0252-9602(09)60060-6

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title = "Ohtsuki's invariant cannot determine the full so (3) quantum invariants",

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}.",

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author = "Li Banghe and Li Tianjun",

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KW - SO(3) quantum invariants

KW - lens space

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

Abstract

Bibliographical note

Keywords

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