Kodai Mathematical Journal
Online ISSN : 1881-5472
Print ISSN : 0386-5991
ISSN-L : 0386-5991
Remarks on refined Kirby calculus for three-manifolds of cyclic first homology groups of odd prime power orders
Kenichi Fujiwara
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2009 年 32 巻 3 号 p. 564-568

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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.
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© 2009 Department of Mathematics, Tokyo Institute of Technology
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