Akiko Shima

Full paper in PDF:
$%A. Shima, An unknotting theorem for tori in S⁴, Rev. Mat. Complut. 11 (1998), no. 2, 299–309.%$

An Unknotting Theorem for Tori in S⁴

Akiko SHIMA

Graduate School of Mathematical Sciences
University of Tokyo
3-8-1 Komaba Meguro-ku
Tokyo 153 — Japan

shima@ms.u-tokyo.ac.jp

Received: January 16, 1997

ABSTRACT

Let $T$ be a torus in $S4$ and $T*$ a projection of $T$ . If the singular set $* G(T )$ consists of one disjoint simple closed curve, then $T$ can be moved to the standard position by an ambient isotopy of $4 S$ .

1991 Mathematics Subject Classification: Primary: 57Q45; secondary: 57Q35.