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Homology of Abelian Coverings of Links and Spatial Graphs

Homology of Abelian Coverings of Links and Spatial Graphs

Abstract 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 …