Full paper in PDF:
$%A. Shima, An unknotting theorem for tori in S4, Rev. Mat. Complut. 11 (1998), no. 2, 299309.%$

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

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.