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The 2-twist-spun trefoil has the triple point number four
Author(s):
Shin
Satoh;
Akiko
Shima
Journal:
Trans. Amer. Math. Soc.
356
(2004),
1007-1024.
MSC (2000):
Primary 57Q45;
Secondary 57Q35
Posted:
August 25, 2003
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Additional information
Abstract:
The triple point number of an embedded surface in 4-space is the minimal number of the triple points on all the projection images into 3-space. We show that the 2-twist-spun trefoil has the triple point number four.
References:
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Additional Information:
Shin
Satoh
Affiliation:
Department of Mathematics, Chiba University, Inage, Chiba, 263-8522, Japan
Email:
satoh@math.s.chiba-u.ac.jp
Akiko
Shima
Affiliation:
Department of Mathematics, Tokai University, 1117 Kitakaname, Hiratuka, Kanagawa, 259-1292, Japan
Email:
shima@keyaki.cc.u-tokai.ac.jp
DOI:
10.1090/S0002-9947-03-03181-7
PII:
S 0002-9947(03)03181-7
Keywords:
2-knot,
surface-knot,
triple point,
cocycle invariant,
motion picture
Received by editor(s):
October 15, 2001
Received by editor(s) in revised form:
July 24, 2002
Posted:
August 25, 2003
Copyright of article:
Copyright
2003,
American Mathematical Society
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