Remarks on refined Kirby calculus for three-manifolds of cyclic first homology groups of odd prime power orders

Fujiwara, Kenichi

Kodai Math. J., Tome 32 (2009) no. 1, p. 564-568 / Harvested from Project Euclid

Résumé

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.

Publié le : 2009-10-15
Classification:

@article{1257948896,
     author = {Fujiwara, Kenichi},
     title = {Remarks on refined Kirby calculus for three-manifolds of cyclic first homology groups of odd prime power orders},
     journal = {Kodai Math. J.},
     volume = {32},
     number = {1},
     year = {2009},
     pages = { 564-568},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1257948896}
}

Fujiwara, Kenichi. Remarks on refined Kirby calculus for three-manifolds of cyclic first homology groups of odd prime power orders. Kodai Math. J., Tome 32 (2009) no. 1, pp.  564-568. http://gdmltest.u-ga.fr/item/1257948896/