ar X iv : 0 71 1 . 42 29 v 1 [ m at h . Q A ] 2 7 N ov 2 00 7 MODIFIED QUANTUM DIMENSIONS AND RE - NORMALIZED LINK INVARIANTS

Abstract

In this paper we give a re-normalization of the Reshetikhin-Turaev quantum invariants of links, by modified quantum dimensions. In the case of simple Lie algebras these modified quantum dimensions are proportional to the usual quantum dimensions. More interestingly we will give two examples where the usual quantum dimensions vanish but the modified quantum… (More)

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