On the homology of finite abelian coverings of links

Author

J.A. Hillman and M. Sakuma

Status

Research Report 95-35
31 October 1995

Abstract

Let A be a finite abelian group and M be a branched cover of an homology 3-sphere, branched over a link L, with covering group A. We show that H_1(M;Z[1/|A|]) is determined as a Z[1/|A|][A]-module by the Alexander ideals of L and certain ideal class invariants.

Key phrases

Alexander ideal. branched covering. Dedekind domain. knot. link.

AMS Subject Classification (1991)

Primary: 57M25
Secondary:

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