Geodesic
Homology Invariants
Canadian journal of mathematics, Tome 30 (1978) no. 3, pp. 655-670

Voir la notice de l'article provenant de la source Cambridge University Press

There have been few published results concerning the relationship between the homology groups of branched and unbranched covering spaces of knots, despite the fact that these invariants are such powerful invariants for distinguishing knot types and have long been recognised as such [8]. It is well known that a simple relationship exists between these homology groups for cyclic covering spaces (see Example 3 in § 3), however for more complicated covering spaces, little has previously been known about the homology group, H1(M) of the branched covering space or about H1(U), U being the corresponding unbranched covering space, or about the relationship between these two groups. 
Hartley, Richard; Murasugi, Kunio. Homology Invariants. Canadian journal of mathematics, Tome 30 (1978) no. 3, pp. 655-670. doi: 10.4153/CJM-1978-057-6
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