On the homology of finite cyclic coverings of higher-dimensional links

Sumners, D. W.

doi:10.1090/S0002-9939-1974-0350747-5

On the homology of finite cyclic coverings of higher-dimensional links
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by D. W. Sumners

Proc. Amer. Math. Soc. 46 (1974), 143-149

DOI: https://doi.org/10.1090/S0002-9939-1974-0350747-5

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Abstract:

We produce an explicit formula for the betti numbers of the $k$-fold branched cyclic covering of a link, in terms of complex $k$th roots of unity which are also roots of the polynomial invariants of the link. More information is obtained when $k$ is a prime power.

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10

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