Comments on Witten Invariants of 3-Manifolds for SU(2) and $Z_m$

Details Comments on Witten Invariants of 3-Manifolds for SU(2) and $Z_m$ Comments on Witten Invariants of 3-Manifolds for SU(2) and $Z_m$

1993-03-15

arxiv.org/abs/hep-th/9303082v1

Mod. Phys. Lett. A8 (1993) 2285-2298

Physics

High Energy Physics

High Energy Physics - Theory

14 pages ; 6 figures not included, available in hard copy upon request. TCD-2-93

Scientific paper

The values of the Witten invariants, $I_W$, of the lens space $L(p, 1)$ for
SU(2) at level $k$ are obtained for arbitrary $p$. A duality relation for $I_W$
when $p$ and $k$ are interchanged, valid for asymptotic $k$, is observed. A
method for calculating $I_W$ for any group $G$ is described. It is found that
$I_W$ for $Z_m$, even for $m = 2$, distinguishes 3-manifolds quite effectively.

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