Kirby-Melvin's $τ_r^{'}$ and Ohtsuki's $τ$ for Lens spaces

Details Kirby-Melvin's $τ_r^{'}$ and Ohtsuki's $τ$ for Lens spaces Kirby-Melvin's $τ_r^{'}$ and Ohtsuki's $τ$ for Lens spaces

1998-07-27

arxiv.org/abs/math/9807155v1

Mathematics

Quantum Algebra

6 pages, Latex

Scientific paper

In this note, we first derive explicit formulas for Kirby-Melvin's
three-manifold invariants $\tau_r^{'}$ for all Lens spaces from our results for
another set of invariants $\xi_r$ defined by the first author. Then, as a
corollary, we obtain formulas for Othsuki's $\tau$ for all Lens spaces.

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