Homology of Branched Coverings of 3-Manifolds
Canadian journal of mathematics, Tome 44 (1991) no. 1, pp. 119-134

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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.
DOI : 10.4153/CJM-1992-007-4
Mots-clés : 57N10, 57M05, 57M12
Hempel, John. Homology of Branched Coverings of 3-Manifolds. Canadian journal of mathematics, Tome 44 (1991) no. 1, pp. 119-134. doi: 10.4153/CJM-1992-007-4
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