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Homology of Branched Coverings of 3-Manifolds

Published online by Cambridge University Press:  20 November 2018

John Hempel
John Hempel*
Affiliation:
Rice University Houston, Texas USA 77251, email: [email protected]
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Abstract

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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.

Keywords

57N1057M0557M12
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 44 , Issue 1 , 01 December 1991 , pp. 119 - 134
Copyright
Copyright © Canadian Mathematical Society 1989

References

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