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Homology of Branched Coverings of 3-Manifolds
Published online by Cambridge University Press: 20 November 2018
Abstract
We give a relation between the homology groups H1() and H1 (M) for a branched cyclic cover → M of arbitrary closed, oriented 3-manifolds which generalizes a classical result of Plans on covers of S3 branched over a knot and provides other quantitative information as well. We include a general "free calculus" procedure for computing homology groups of branched covers and reinterpret the results in this computational setting.
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- Copyright © Canadian Mathematical Society 1989