Mizusawa, Atsuhiko Linking numbers for handlebody-links. (English) Zbl 1278.57022 Proc. Japan Acad., Ser. A 89, No. 4, 60-62 (2013). Summary: As a generalization of the linking number, we construct a set of invariant numbers for two-component handlebody-links. These numbers are elementary divisors associated with the natural homomorphism from the first homology group of a component to that of the complement of another component. Cited in 9 Documents MSC: 57M27 Invariants of knots and \(3\)-manifolds (MSC2010) 57M15 Relations of low-dimensional topology with graph theory 57M25 Knots and links in the \(3\)-sphere (MSC2010) Keywords:handlebody-knot; handlebody-link; linking number; elementary divisor × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid References: [1] A. Ishii, Moves and invariants for knotted handlebodies, Algebr. Geom. Topol. 8 (2008), no. 3, 1403-1418. · Zbl 1151.57007 · doi:10.2140/agt.2008.8.1403 [2] S. Suzuki, On linear graphs in 3-sphere, Osaka J. Math. 7 (1970), 375-396. · Zbl 0209.54701 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.