Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

The 2-twist-spun trefoil has the triple point number four


Authors: Shin Satoh and Akiko Shima
Journal: Trans. Amer. Math. Soc. 356 (2004), 1007-1024
MSC (2000): Primary 57Q45; Secondary 57Q35
Published electronically: August 25, 2003
MathSciNet review: 1984465
Full-text PDF Free Access

Abstract | References | Similar Articles | 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 [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 57Q45, 57Q35

Retrieve articles in all journals with MSC (2000): 57Q45, 57Q35


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: http://dx.doi.org/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
Published electronically: August 25, 2003
Article copyright: © Copyright 2003 American Mathematical Society