Open Access
April 2013 Linking numbers for handlebody-links
Atsuhiko Mizusawa
Proc. Japan Acad. Ser. A Math. Sci. 89(4): 60-62 (April 2013). DOI: 10.3792/pjaa.89.60


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.


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Atsuhiko Mizusawa. "Linking numbers for handlebody-links." Proc. Japan Acad. Ser. A Math. Sci. 89 (4) 60 - 62, April 2013.


Published: April 2013
First available in Project Euclid: 2 April 2013

zbMATH: 1278.57022
MathSciNet: MR3047485
Digital Object Identifier: 10.3792/pjaa.89.60

Primary: 57M27
Secondary: 57M15 , 57M25

Keywords: elementary divisor , handlebody-knot , handlebody-link , linking number

Rights: Copyright © 2013 The Japan Academy

Vol.89 • No. 4 • April 2013
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