Linking numbers for handlebody-links

Atsuhiko Mizusawa

doi:10.3792/pjaa.89.60

Linking numbers for handlebody-links

Atsuhiko Mizusawa^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	60-62
Number of pages	3
Journal	Proceedings of the Japan Academy Series A: Mathematical Sciences
Volume	89
Issue number	4
DOIs	https://doi.org/10.3792/pjaa.89.60
Publication status	Published - 2013 Apr

Keywords

Elementary divisor
Handlebody-knot
Handlebody-link
Linking number

ASJC Scopus subject areas

Mathematics(all)

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10.3792/pjaa.89.60

Cite this

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title = "Linking numbers for handlebody-links",

abstract = "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.",

keywords = "Elementary divisor, Handlebody-knot, Handlebody-link, Linking number",

author = "Atsuhiko Mizusawa",

year = "2013",

month = apr,

doi = "10.3792/pjaa.89.60",

language = "English",

volume = "89",

pages = "60--62",

journal = "Proceedings of the Japan Academy Series A: Mathematical Sciences",

issn = "0386-2194",

publisher = "Japan Academy",

number = "4",

}

TY - JOUR

T1 - Linking numbers for handlebody-links

AU - Mizusawa, Atsuhiko

PY - 2013/4

Y1 - 2013/4

N2 - 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.

AB - 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.

KW - Elementary divisor

KW - Handlebody-knot

KW - Handlebody-link

KW - Linking number

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U2 - 10.3792/pjaa.89.60

DO - 10.3792/pjaa.89.60

M3 - Article

AN - SCOPUS:84879307619

SN - 0386-2194

VL - 89

SP - 60

EP - 62

JO - Proceedings of the Japan Academy Series A: Mathematical Sciences

JF - Proceedings of the Japan Academy Series A: Mathematical Sciences

IS - 4

ER -

Linking numbers for handlebody-links

Abstract

Keywords

ASJC Scopus subject areas

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