Let $T$ be a torus in $S^{4}$. If the singular set $Γ(T^{*})$ of the projection $T^{*}$ ($\subset S^{3}$) of $T$ consists of three disjoint simple closed curves, then $T$ can be moved to either the standard torus, the spun torus of the trefoil knot $T^{0}(L_{3})$, the twist spun torus of the trefoil knot $T^{3}(L_{3})$, or the torus obtained by attaching a handle to the spun 2-sphere of the trefoil knot, by an ambient isotopy of $S^{4}$.
雑誌名
Journal of mathematical sciences, the University of Tokyo
巻
4
号
2
ページ
279 - 339
発行年
1997
ISSN
13405705
書誌レコードID
AA11021653
フォーマット
application/pdf
日本十進分類法
415
Mathematical Reviews Number
MR1466348
Mathmatical Subject Classification
57Q45(MSC1991)
57Q35(MSC1991)
出版者
Graduate School of Mathematical Sciences, The University of Tokyo
原稿受領日
1996-03-07
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On Simply Knotted Tori in $S^4$
jms040202.pdf
(1.55MB)
