Abstract
Habiro arranged Kirby moves into a pair so that it preserves linking matrices. The author showed that two framed links of diagonal linking matrices yield homeomorphic 3-manifolds of linking form (±1/p) for an odd prime p if and only if they are related by a sequence of Habiro moves. We generalize this result to 3-manifolds of linking forms (±1/c) for any odd prime power c.
Citation
Kenichi Fujiwara. "Remarks on refined Kirby calculus for three-manifolds of cyclic first homology groups of odd prime power orders." Kodai Math. J. 32 (3) 564 - 568, October 2009. https://doi.org/10.2996/kmj/1257948896
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