Homology of Abelian Coverings of Links and Spatial Graphs

Sakuma, Makoto

Canadian journal of mathematics, Tome 47 (1995) no. 1, pp. 201-224

Résumé

We give (1) a formula of the first Betti numbers of abelian coverings of links in terms of the Alexander ideals, (2) certain estimates of the orders of the torsion parts of their first homology groups in terms of the Alexander polynomials, and (3) a structure theorem of the first homology groups of -coverings of spatial graphs. As an application, we generalize a result of E. Hironaka on polynomial periodicity of the first Betti numbers in certain towers of abelian coverings of complex surfaces.

Détail

DOI : 10.4153/CJM-1995-010-2

Mots-clés : 57M05, 57M12, 57M25

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