ON CALCULATIONS OF THE TWISTED ALEXANDER IDEALS FOR SPATIAL GRAPHS, HANDLEBODY-KNOTS AND SURFACE-LINKS

Ishii, Atsushi; Nikkuni, Ryo; Oshiro, Kanako

Osaka Journal of Mathematics, 2018, 55(2), 297-313

アクセス数:442件（2025-07-06 21:35 集計）

固定URL: https://doi.org/10.18910/68353

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論文情報

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タイトル
ON CALCULATIONS OF THE TWISTED ALEXANDER IDEALS FOR SPATIAL GRAPHS, HANDLEBODY-KNOTS AND SURFACE-LINKS
著者
NRID
1000000531451 1000000531451
著者名
Ishii, Atsushi
NRID
1000000401878 1000000401878
著者名
Nikkuni, Ryo
NRID
1000090609091 1000090609091
著者名
Oshiro, Kanako
抄録
There are many studies about twisted Alexander invariants for knots and links, but calculations of twisted Alexander invariants for spatial graphs, handlebody-knots, and surface-links have not been demonstrated well. In this paper, we give some remarks to calculate the twisted Alexander ideals for spatial graphs, handlebody-knots and surface-links, and observe their behaviors. For spatial graphs, we calculate the invariants of Suzuki’s theta-curves and show that the invariants are nontrivial for Suzuki’s theta-curves whose Alexander ideals are trivial. For handlebodyknots, we give a remark on abelianizations and calculate the invariant of the handlebody-knots up to six crossings. For surface-links, we correct Yoshikawa’s table and calculate the invariants of the surface-links in the table.
出版者
Osaka University and Osaka City University, Departments of Mathematics
収録物名
Osaka Journal of Mathematics
巻(号)
55(2)
ページ
297-313
刊行年月
2018-04
言語
英語
ハンドルURL
https://hdl.handle.net/11094/68353
DOI
https://doi.org/10.18910/68353
PISSN
00306126
NCID
AA00765910
アクセス権
open access
出版タイプ
Version of Record
カテゴリ
紀要論文 Departmental Bulletin Paper
Osaka Journal of Mathematics / Volume 55, Number 2 （2018-4）